t designs with small t, id ge 6700

• clan: 17-(36,18,8), 4 times reduced t, 8 times derived
• Tran van Trung construction (right) for 5-(27,9,3080) (# 6696) : der= 5-(27,9,3080) and res= 5-(27,10,11088) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,10,11088) (# 6697) : der= 5-(27,9,3080) and res= 5-(27,10,11088) - the given design is the residual.

# 6701: 5-(28,11,42504)

• clan: 17-(36,18,8), 4 times reduced t, 7 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,10,11088) (# 6697) : der= 5-(27,10,11088) and res= 5-(27,11,31416) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,11,31416) (# 6698) : der= 5-(27,10,11088) and res= 5-(27,11,31416) - the given design is the residual.

# 6702: 5-(28,12,103224)

• clan: 17-(36,18,8), 4 times reduced t, 6 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(27,11,31416) (# 6698) : der= 5-(27,11,31416) and res= 5-(27,12,71808) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,71808) (# 6699) : der= 5-(27,11,31416) and res= 5-(27,12,71808) - the given design is the residual.

# 6703: 5-(28,13,206448)

• clan: 17-(36,18,8), 4 times reduced t, 5 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(27,12,71808) (# 6699) : der= 5-(27,12,71808) and res= 5-(27,13,134640) - the given design is the derived.

# 6704: 5-(29,11,56672)

• clan: 17-(36,18,8), 5 times reduced t, 7 times derived
• Tran van Trung construction (right) for 5-(28,10,14168) (# 6700) : der= 5-(28,10,14168) and res= 5-(28,11,42504) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,11,42504) (# 6701) : der= 5-(28,10,14168) and res= 5-(28,11,42504) - the given design is the residual.

# 6705: 5-(29,12,145728)

• clan: 17-(36,18,8), 5 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,11,42504) (# 6701) : der= 5-(28,11,42504) and res= 5-(28,12,103224) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,12,103224) (# 6702) : der= 5-(28,11,42504) and res= 5-(28,12,103224) - the given design is the residual.

# 6706: 5-(29,13,309672)

• clan: 17-(36,18,8), 5 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(28,12,103224) (# 6702) : der= 5-(28,12,103224) and res= 5-(28,13,206448) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,206448) (# 6703) : der= 5-(28,12,103224) and res= 5-(28,13,206448) - the given design is the residual.

# 6707: 5-(29,14,550528)

• clan: 17-(36,18,8), 5 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(28,13,206448) (# 6703) : der= 5-(28,13,206448) and res= 5-(28,14,344080) - the given design is the derived.

# 6708: 5-(30,12,202400)

• clan: 17-(36,18,8), 6 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(29,11,56672) (# 6704) : der= 5-(29,11,56672) and res= 5-(29,12,145728) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,12,145728) (# 6705) : der= 5-(29,11,56672) and res= 5-(29,12,145728) - the given design is the residual.

# 6709: 5-(30,13,455400)

• clan: 17-(36,18,8), 6 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(29,12,145728) (# 6705) : der= 5-(29,12,145728) and res= 5-(29,13,309672) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,13,309672) (# 6706) : der= 5-(29,12,145728) and res= 5-(29,13,309672) - the given design is the residual.

# 6710: 5-(30,14,860200)

• clan: 17-(36,18,8), 6 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(29,13,309672) (# 6706) : der= 5-(29,13,309672) and res= 5-(29,14,550528) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,550528) (# 6707) : der= 5-(29,13,309672) and res= 5-(29,14,550528) - the given design is the residual.

# 6711: 5-(30,15,1376320)

• clan: 17-(36,18,8), 6 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(29,14,550528) (# 6707)

# 6712: 5-(31,13,657800)

• clan: 17-(36,18,8), 7 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(30,12,202400) (# 6708) : der= 5-(30,12,202400) and res= 5-(30,13,455400) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,13,455400) (# 6709) : der= 5-(30,12,202400) and res= 5-(30,13,455400) - the given design is the residual.

# 6713: 5-(31,14,1315600)

• clan: 17-(36,18,8), 7 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(30,13,455400) (# 6709) : der= 5-(30,13,455400) and res= 5-(30,14,860200) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,14,860200) (# 6710) : der= 5-(30,13,455400) and res= 5-(30,14,860200) - the given design is the residual.

# 6714: 5-(31,15,2236520)

• clan: 17-(36,18,8), 7 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(30,14,860200) (# 6710) : der= 5-(30,14,860200) and res= 5-(30,15,1376320) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,1376320) (# 6711) : der= 5-(30,14,860200) and res= 5-(30,15,1376320) - the given design is the residual.

# 6715: 5-(32,14,1973400)

• clan: 17-(36,18,8), 8 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(31,13,657800) (# 6712) : der= 5-(31,13,657800) and res= 5-(31,14,1315600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,14,1315600) (# 6713) : der= 5-(31,13,657800) and res= 5-(31,14,1315600) - the given design is the residual.

# 6716: 5-(32,15,3552120)

• clan: 17-(36,18,8), 8 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(31,14,1315600) (# 6713) : der= 5-(31,14,1315600) and res= 5-(31,15,2236520) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,15,2236520) (# 6714) : der= 5-(31,14,1315600) and res= 5-(31,15,2236520) - the given design is the residual.

# 6717: 5-(32,16,5489640)

• clan: 17-(36,18,8), 8 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(31,15,2236520) (# 6714)

# 6718: 5-(33,15,5525520)

• clan: 17-(36,18,8), 9 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(32,14,1973400) (# 6715) : der= 5-(32,14,1973400) and res= 5-(32,15,3552120) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,15,3552120) (# 6716) : der= 5-(32,14,1973400) and res= 5-(32,15,3552120) - the given design is the residual.

# 6719: 5-(33,16,9041760)

• clan: 17-(36,18,8), 9 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(32,15,3552120) (# 6716) : der= 5-(32,15,3552120) and res= 5-(32,16,5489640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,16,5489640) (# 6717) : der= 5-(32,15,3552120) and res= 5-(32,16,5489640) - the given design is the residual.

# 6720: 5-(34,16,14567280)

• clan: 17-(36,18,8), 10 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(33,15,5525520) (# 6718) : der= 5-(33,15,5525520) and res= 5-(33,16,9041760) - the given design is the derived.
• Tran van Trung construction (left) for 5-(33,16,9041760) (# 6719) : der= 5-(33,15,5525520) and res= 5-(33,16,9041760) - the given design is the residual.

# 6721: 5-(34,17,21850920)

• clan: 17-(36,18,8), 10 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(33,16,9041760) (# 6719)

# 6722: 5-(35,17,36418200)

• clan: 17-(36,18,8), 11 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(34,16,14567280) (# 6720) : der= 5-(34,16,14567280) and res= 5-(34,17,21850920) - the given design is the derived.
• Tran van Trung construction (left) for 5-(34,17,21850920) (# 6721) : der= 5-(34,16,14567280) and res= 5-(34,17,21850920) - the given design is the residual.

# 6723: 5-(36,18,86843400)

• clan: 17-(36,18,8), 12 times reduced t
• Tran van Trung construction with complementary design for 5-(35,17,36418200) (# 6722)

# 6724: 5-(24,9,1638)

• clan: 11-(30,15,1638), 6 times derived
• $PGL(2,23)$ (>1 isomorphism types)

# 6725: 5-(25,10,6552)

• clan: 11-(30,15,1638), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1638) (# 6724) : der= 5-(24,9,1638) and res= 5-(24,10,4914) - the given design is the derived.

# 6726: 5-(24,9,1644)

• clan: 13-(32,16,411), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6727: 5-(25,9,2055)

• clan: 13-(32,16,411), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1644) (# 6726) : der= 5-(24,8,411) and res= 5-(24,9,1644) - the given design is the residual.
• derived from 6-(26,10,2055) (# 14212)
• derived from supplementary of 6-(26,10,2790) (# 14215)

# 6728: 5-(25,10,6576)

• clan: 13-(32,16,411), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1644) (# 6726) : der= 5-(24,9,1644) and res= 5-(24,10,4932) - the given design is the derived.
• residual design of 6-(26,10,2055) (# 14212)
• derived from 6-(26,11,6576) (# 14213)
• residual design of supplementary of 6-(26,10,2790) (# 14215)
• derived from supplementary of 6-(26,11,8928) (# 14216)

# 6729: 5-(26,10,8631)

• clan: 13-(32,16,411), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2055) (# 6727) : der= 5-(25,9,2055) and res= 5-(25,10,6576) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6576) (# 6728) : der= 5-(25,9,2055) and res= 5-(25,10,6576) - the given design is the residual.
• derived from 6-(27,11,8631) (# 10733)
• design 6-(26,10,2055) (# 14212) with respect to smaller t
• derived from supplementary of 6-(27,11,11718) (# 14214)
• supplementary design of 6-(26,10,2790) (# 14215) with respect to smaller t

# 6730: 5-(24,9,1650)

• clan: 11-(30,15,1650), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6731: 5-(25,10,6600)

• clan: 11-(30,15,1650), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1650) (# 6730) : der= 5-(24,9,1650) and res= 5-(24,10,4950) - the given design is the derived.

# 6732: 5-(24,9,1656)

• clan: 13-(32,16,414), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

# 6733: 5-(25,9,2070)

• clan: 13-(32,16,414), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1656) (# 6732) : der= 5-(24,8,414) and res= 5-(24,9,1656) - the given design is the residual.

# 6734: 5-(25,10,6624)

• clan: 13-(32,16,414), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1656) (# 6732) : der= 5-(24,9,1656) and res= 5-(24,10,4968) - the given design is the derived.

# 6735: 5-(26,10,8694)

• clan: 13-(32,16,414), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2070) (# 6733) : der= 5-(25,9,2070) and res= 5-(25,10,6624) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6624) (# 6734) : der= 5-(25,9,2070) and res= 5-(25,10,6624) - the given design is the residual.

# 6736: 5-(24,9,1662)

• clan: 11-(30,15,1662), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6737: 5-(25,10,6648)

• clan: 11-(30,15,1662), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1662) (# 6736) : der= 5-(24,9,1662) and res= 5-(24,10,4986) - the given design is the derived.

# 6738: 5-(24,9,1668)

• clan: 13-(32,16,417), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6739: 5-(25,9,2085)

• clan: 13-(32,16,417), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1668) (# 6738) : der= 5-(24,8,417) and res= 5-(24,9,1668) - the given design is the residual.

# 6740: 5-(25,10,6672)

• clan: 13-(32,16,417), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1668) (# 6738) : der= 5-(24,9,1668) and res= 5-(24,10,5004) - the given design is the derived.

# 6741: 5-(26,10,8757)

• clan: 13-(32,16,417), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2085) (# 6739) : der= 5-(25,9,2085) and res= 5-(25,10,6672) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6672) (# 6740) : der= 5-(25,9,2085) and res= 5-(25,10,6672) - the given design is the residual.

# 6742: 5-(24,9,1674)

• clan: 11-(30,15,1674), 6 times derived
• $PGL(2,23)$ (>1 isomorphism types)

# 6743: 5-(25,10,6696)

• clan: 11-(30,15,1674), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1674) (# 6742) : der= 5-(24,9,1674) and res= 5-(24,10,5022) - the given design is the derived.

# 6744: 5-(24,9,168)

• clan: 13-(32,16,42), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6745: 5-(25,9,210)

• clan: 13-(32,16,42), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,168) (# 6744) : der= 5-(24,8,42) and res= 5-(24,9,168) - the given design is the residual.

# 6746: 5-(25,10,672)

• clan: 13-(32,16,42), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,168) (# 6744) : der= 5-(24,9,168) and res= 5-(24,10,504) - the given design is the derived.

# 6747: 5-(26,10,882)

• clan: 13-(32,16,42), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,210) (# 6745) : der= 5-(25,9,210) and res= 5-(25,10,672) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,672) (# 6746) : der= 5-(25,9,210) and res= 5-(25,10,672) - the given design is the residual.

# 6748: 5-(24,9,1680)

• clan: 13-(32,16,420), 7 times derived, 1 times residual
• $M_{24}$ 1 isomorphism type
• residual design of 6-(25,9,420) (# 10458)

# 6749: 5-(25,9,2100)

• clan: 13-(32,16,420), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1680) (# 6748) : der= 5-(24,8,420) and res= 5-(24,9,1680) - the given design is the residual.
• design 6-(25,9,420) (# 10458) with respect to smaller t

# 6750: 5-(25,10,6720)

• clan: 13-(32,16,420), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1680) (# 6748) : der= 5-(24,9,1680) and res= 5-(24,10,5040) - the given design is the derived.

# 6751: 5-(26,10,8820)

• clan: 13-(32,16,420), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2100) (# 6749) : der= 5-(25,9,2100) and res= 5-(25,10,6720) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6720) (# 6750) : der= 5-(25,9,2100) and res= 5-(25,10,6720) - the given design is the residual.

# 6752: 5-(24,9,1686)

• clan: 11-(30,15,1686), 6 times derived
• $PGL(2,23)$ (>1 isomorphism types)

# 6753: 5-(25,10,6744)

• clan: 11-(30,15,1686), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1686) (# 6752) : der= 5-(24,9,1686) and res= 5-(24,10,5058) - the given design is the derived.

# 6754: 5-(24,9,1692)

• clan: 13-(32,16,423), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

# 6755: 5-(25,9,2115)

• clan: 13-(32,16,423), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1692) (# 6754) : der= 5-(24,8,423) and res= 5-(24,9,1692) - the given design is the residual.
• derived from 6-(26,10,2115) (# 14223)
• derived from supplementary of 6-(26,10,2730) (# 14226)

# 6756: 5-(25,10,6768)

• clan: 13-(32,16,423), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1692) (# 6754) : der= 5-(24,9,1692) and res= 5-(24,10,5076) - the given design is the derived.
• residual design of 6-(26,10,2115) (# 14223)
• derived from 6-(26,11,6768) (# 14224)
• residual design of supplementary of 6-(26,10,2730) (# 14226)
• derived from supplementary of 6-(26,11,8736) (# 14227)

# 6757: 5-(26,10,8883)

• clan: 13-(32,16,423), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2115) (# 6755) : der= 5-(25,9,2115) and res= 5-(25,10,6768) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6768) (# 6756) : der= 5-(25,9,2115) and res= 5-(25,10,6768) - the given design is the residual.
• derived from 6-(27,11,8883) (# 14222)
• design 6-(26,10,2115) (# 14223) with respect to smaller t
• derived from supplementary of 6-(27,11,11466) (# 14225)
• supplementary design of 6-(26,10,2730) (# 14226) with respect to smaller t

# 6758: 5-(24,9,1698)

• clan: 11-(30,15,1698), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6759: 5-(25,10,6792)

• clan: 11-(30,15,1698), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1698) (# 6758) : der= 5-(24,9,1698) and res= 5-(24,10,5094) - the given design is the derived.

# 6760: 5-(24,9,1704)

• clan: 13-(32,16,426), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6761: 5-(25,9,2130)

• clan: 13-(32,16,426), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1704) (# 6760) : der= 5-(24,8,426) and res= 5-(24,9,1704) - the given design is the residual.

# 6762: 5-(25,10,6816)

• clan: 13-(32,16,426), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1704) (# 6760) : der= 5-(24,9,1704) and res= 5-(24,10,5112) - the given design is the derived.

# 6763: 5-(26,10,8946)

• clan: 13-(32,16,426), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2130) (# 6761) : der= 5-(25,9,2130) and res= 5-(25,10,6816) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6816) (# 6762) : der= 5-(25,9,2130) and res= 5-(25,10,6816) - the given design is the residual.

# 6764: 5-(24,9,1716)

• clan: 13-(32,16,429), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)
• \cite{Driessen78} $M_{24}$ 1 isomorphism type
• residual design of 6-(25,9,429) (# 10461)
• derived from 6-(25,10,1716) (# 13620)
• derived from supplementary of 6-(25,10,2160) (# 13623)

# 6765: 5-(25,9,2145)

• clan: 13-(32,16,429), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1716) (# 6764) : der= 5-(24,8,429) and res= 5-(24,9,1716) - the given design is the residual.
• design 6-(25,9,429) (# 10461) with respect to smaller t
• derived from 6-(26,10,2145) (# 13628)
• derived from supplementary of 6-(26,10,2700) (# 14257)

# 6766: 5-(25,10,6864)

• clan: 13-(32,16,429), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1716) (# 6764) : der= 5-(24,9,1716) and res= 5-(24,10,5148) - the given design is the derived.
• derived from 6-(26,11,6864) (# 13619)
• design 6-(25,10,1716) (# 13620) with respect to smaller t
• derived from supplementary of 6-(26,11,8640) (# 13622)
• supplementary design of 6-(25,10,2160) (# 13623) with respect to smaller t
• residual design of 6-(26,10,2145) (# 13628)
• residual design of supplementary of 6-(26,10,2700) (# 14257)

# 6767: 5-(26,10,9009)

• clan: 13-(32,16,429), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2145) (# 6765) : der= 5-(25,9,2145) and res= 5-(25,10,6864) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6864) (# 6766) : der= 5-(25,9,2145) and res= 5-(25,10,6864) - the given design is the residual.
• derived from 6-(27,11,9009) (# 10739)
• design 6-(26,10,2145) (# 13628) with respect to smaller t
• derived from supplementary of 6-(27,11,11340) (# 14256)
• supplementary design of 6-(26,10,2700) (# 14257) with respect to smaller t

# 6768: 5-(24,9,1722)

• clan: 11-(30,15,1722), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6769: 5-(25,10,6888)

• clan: 11-(30,15,1722), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1722) (# 6768) : der= 5-(24,9,1722) and res= 5-(24,10,5166) - the given design is the derived.

# 6770: 5-(24,9,1728)

• clan: 13-(32,16,432), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)
• residual design of 6-(25,9,432) (# 17530)
• derived from 6-(25,10,1728) (# 17531)
• residual design of supplementary of 6-(25,9,537) (# 17532)
• derived from supplementary of 6-(25,10,2148) (# 17533)

# 6771: 5-(25,9,2160)

• clan: 13-(32,16,432), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1728) (# 6770) : der= 5-(24,8,432) and res= 5-(24,9,1728) - the given design is the residual.
• derived from 6-(26,10,2160) (# 14262)
• derived from supplementary of 6-(26,10,2685) (# 14265)
• design 6-(25,9,432) (# 17530) with respect to smaller t
• supplementary design of 6-(25,9,537) (# 17532) with respect to smaller t

# 6772: 5-(25,10,6912)

• clan: 13-(32,16,432), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1728) (# 6770) : der= 5-(24,9,1728) and res= 5-(24,10,5184) - the given design is the derived.
• residual design of 6-(26,10,2160) (# 14262)
• derived from 6-(26,11,6912) (# 14263)
• residual design of supplementary of 6-(26,10,2685) (# 14265)
• derived from supplementary of 6-(26,11,8592) (# 14266)
• design 6-(25,10,1728) (# 17531) with respect to smaller t
• supplementary design of 6-(25,10,2148) (# 17533) with respect to smaller t

# 6773: 5-(26,10,9072)

• clan: 13-(32,16,432), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2160) (# 6771) : der= 5-(25,9,2160) and res= 5-(25,10,6912) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6912) (# 6772) : der= 5-(25,9,2160) and res= 5-(25,10,6912) - the given design is the residual.
• derived from 6-(27,11,9072) (# 10743)
• design 6-(26,10,2160) (# 14262) with respect to smaller t
• derived from supplementary of 6-(27,11,11277) (# 14264)
• supplementary design of 6-(26,10,2685) (# 14265) with respect to smaller t

# 6774: 5-(24,9,1734)

• clan: 11-(30,15,1734), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6775: 5-(25,10,6936)

• clan: 11-(30,15,1734), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1734) (# 6774) : der= 5-(24,9,1734) and res= 5-(24,10,5202) - the given design is the derived.

# 6776: 5-(24,9,174)

• clan: 11-(30,15,174), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6777: 5-(25,10,696)

• clan: 11-(30,15,174), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,174) (# 6776) : der= 5-(24,9,174) and res= 5-(24,10,522) - the given design is the derived.

# 6778: 5-(24,9,1740)

• clan: 13-(32,16,435), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6779: 5-(25,9,2175)

• clan: 13-(32,16,435), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1740) (# 6778) : der= 5-(24,8,435) and res= 5-(24,9,1740) - the given design is the residual.

# 6780: 5-(25,10,6960)

• clan: 13-(32,16,435), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1740) (# 6778) : der= 5-(24,9,1740) and res= 5-(24,10,5220) - the given design is the derived.

# 6781: 5-(26,10,9135)

• clan: 13-(32,16,435), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2175) (# 6779) : der= 5-(25,9,2175) and res= 5-(25,10,6960) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,6960) (# 6780) : der= 5-(25,9,2175) and res= 5-(25,10,6960) - the given design is the residual.

# 6782: 5-(24,9,1746)

• clan: 11-(30,15,1746), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6783: 5-(25,10,6984)

• clan: 11-(30,15,1746), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1746) (# 6782) : der= 5-(24,9,1746) and res= 5-(24,10,5238) - the given design is the derived.

# 6784: 5-(24,9,1752)

• clan: 13-(32,16,438), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

# 6785: 5-(25,9,2190)

• clan: 13-(32,16,438), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1752) (# 6784) : der= 5-(24,8,438) and res= 5-(24,9,1752) - the given design is the residual.
• derived from 6-(26,10,2190) (# 14272)
• derived from supplementary of 6-(26,10,2655) (# 14275)

# 6786: 5-(25,10,7008)

• clan: 13-(32,16,438), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1752) (# 6784) : der= 5-(24,9,1752) and res= 5-(24,10,5256) - the given design is the derived.
• residual design of 6-(26,10,2190) (# 14272)
• derived from 6-(26,11,7008) (# 14273)
• residual design of supplementary of 6-(26,10,2655) (# 14275)
• derived from supplementary of 6-(26,11,8496) (# 14276)

# 6787: 5-(26,10,9198)

• clan: 13-(32,16,438), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2190) (# 6785) : der= 5-(25,9,2190) and res= 5-(25,10,7008) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,7008) (# 6786) : der= 5-(25,9,2190) and res= 5-(25,10,7008) - the given design is the residual.
• derived from 6-(27,11,9198) (# 10749)
• design 6-(26,10,2190) (# 14272) with respect to smaller t
• derived from supplementary of 6-(27,11,11151) (# 14274)
• supplementary design of 6-(26,10,2655) (# 14275) with respect to smaller t

# 6788: 5-(24,9,1758)

• clan: 11-(30,15,1758), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6789: 5-(25,10,7032)

• clan: 11-(30,15,1758), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1758) (# 6788) : der= 5-(24,9,1758) and res= 5-(24,10,5274) - the given design is the derived.

# 6790: 5-(24,9,1764)

• clan: 13-(32,16,441), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6791: 5-(25,9,2205)

• clan: 13-(32,16,441), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1764) (# 6790) : der= 5-(24,8,441) and res= 5-(24,9,1764) - the given design is the residual.

# 6792: 5-(25,10,7056)

• clan: 13-(32,16,441), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1764) (# 6790) : der= 5-(24,9,1764) and res= 5-(24,10,5292) - the given design is the derived.

# 6793: 5-(26,10,9261)

• clan: 13-(32,16,441), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2205) (# 6791) : der= 5-(25,9,2205) and res= 5-(25,10,7056) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,7056) (# 6792) : der= 5-(25,9,2205) and res= 5-(25,10,7056) - the given design is the residual.

# 6794: 5-(24,9,1770)

• clan: 11-(30,15,1770), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6795: 5-(25,10,7080)

• clan: 11-(30,15,1770), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1770) (# 6794) : der= 5-(24,9,1770) and res= 5-(24,10,5310) - the given design is the derived.
• derived from 6-(26,11,7080) (# 14840)
• derived from supplementary of 6-(26,11,8424) (# 14843)

# 6796: 5-(24,9,1776)

• clan: 13-(32,16,444), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6797: 5-(25,9,2220)

• clan: 13-(32,16,444), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1776) (# 6796) : der= 5-(24,8,444) and res= 5-(24,9,1776) - the given design is the residual.

# 6798: 5-(25,10,7104)

• clan: 13-(32,16,444), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1776) (# 6796) : der= 5-(24,9,1776) and res= 5-(24,10,5328) - the given design is the derived.

# 6799: 5-(26,10,9324)

• clan: 13-(32,16,444), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,2220) (# 6797) : der= 5-(25,9,2220) and res= 5-(25,10,7104) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,7104) (# 6798) : der= 5-(25,9,2220) and res= 5-(25,10,7104) - the given design is the residual.

created: Fri Oct 23 11:10:22 CEST 2009