t designs with small t, id ge 7500

• clan: 13-(32,16,222), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7501: 5-(25,9,1110)

• clan: 13-(32,16,222), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,888) (# 7500) : der= 5-(24,8,222) and res= 5-(24,9,888) - the given design is the residual.
• derived from 6-(26,10,1110) (# 13824)
• derived from supplementary of 6-(26,10,3735) (# 13827)

# 7502: 5-(25,10,3552)

• clan: 13-(32,16,222), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,888) (# 7500) : der= 5-(24,9,888) and res= 5-(24,10,2664) - the given design is the derived.
• residual design of 6-(26,10,1110) (# 13824)
• derived from 6-(26,11,3552) (# 13825)
• residual design of supplementary of 6-(26,10,3735) (# 13827)
• derived from supplementary of 6-(26,11,11952) (# 13828)

# 7503: 5-(26,10,4662)

• clan: 13-(32,16,222), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1110) (# 7501) : der= 5-(25,9,1110) and res= 5-(25,10,3552) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3552) (# 7502) : der= 5-(25,9,1110) and res= 5-(25,10,3552) - the given design is the residual.
• derived from 6-(27,11,4662) (# 13823)
• design 6-(26,10,1110) (# 13824) with respect to smaller t
• derived from supplementary of 6-(27,11,15687) (# 13826)
• supplementary design of 6-(26,10,3735) (# 13827) with respect to smaller t

# 7504: 5-(24,9,894)

• clan: 11-(30,15,894), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7505: 5-(25,10,3576)

• clan: 11-(30,15,894), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,894) (# 7504) : der= 5-(24,9,894) and res= 5-(24,10,2682) - the given design is the derived.

# 7506: 5-(24,9,90)

• clan: 11-(30,15,90), 6 times derived
• $PGL(2,23)$ (17 isomorphism types)

# 7507: 5-(25,10,360)

• clan: 11-(30,15,90), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,90) (# 7506) : der= 5-(24,9,90) and res= 5-(24,10,270) - the given design is the derived.
• $PSL(2,23)+$ TvT construction 5-(24,9,90) $\cup$ 5-(24,10,270)

# 7508: 5-(24,9,900)

• clan: 13-(32,16,225), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,9,225) (# 10431)

# 7509: 5-(25,9,1125)

• clan: 13-(32,16,225), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,900) (# 7508) : der= 5-(24,8,225) and res= 5-(24,9,900) - the given design is the residual.
• design 6-(25,9,225) (# 10431) with respect to smaller t
• derived from 6-(26,10,1125) (# 10472)

# 7510: 5-(25,10,3600)

• clan: 13-(32,16,225), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,900) (# 7508) : der= 5-(24,9,900) and res= 5-(24,10,2700) - the given design is the derived.
• residual design of 6-(26,10,1125) (# 10472)

# 7511: 5-(26,10,4725)

• clan: 13-(32,16,225), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1125) (# 7509) : der= 5-(25,9,1125) and res= 5-(25,10,3600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3600) (# 7510) : der= 5-(25,9,1125) and res= 5-(25,10,3600) - the given design is the residual.
• design 6-(26,10,1125) (# 10472) with respect to smaller t

# 7512: 5-(24,9,906)

• clan: 11-(30,15,906), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7513: 5-(25,10,3624)

• clan: 11-(30,15,906), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,906) (# 7512) : der= 5-(24,9,906) and res= 5-(24,10,2718) - the given design is the derived.

# 7514: 5-(26,11,12684)

• clan: 11-(30,15,906), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,3624) (# 7513) : der= 5-(25,10,3624) and res= 5-(25,11,9060) - the given design is the derived.

# 7515: 5-(27,12,39864)

• clan: 11-(30,15,906), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,12684) (# 7514) : der= 5-(26,11,12684) and res= 5-(26,12,27180) - the given design is the derived.

# 7516: 5-(28,13,114609)

• clan: 11-(30,15,906), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,39864) (# 7515) : der= 5-(27,12,39864) and res= 5-(27,13,74745) - the given design is the derived.

# 7517: 5-(29,14,305624)

• clan: 11-(30,15,906), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,114609) (# 7516) : der= 5-(28,13,114609) and res= 5-(28,14,191015) - the given design is the derived.

# 7518: 5-(30,15,764060)

• clan: 11-(30,15,906), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,305624) (# 7517)

# 7519: 5-(24,9,912)

• clan: 15-(32,16,4), 2 times reduced t, 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction (right) for 5-(23,8,192) (# 9834) : der= 5-(23,8,192) and res= 5-(23,9,720) - the given design is the derived.

# 7520: 5-(25,9,1140)

• clan: 15-(32,16,4), 3 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,912) (# 7519) : der= 5-(24,8,228) and res= 5-(24,9,912) - the given design is the residual.

# 7521: 5-(25,10,3648)

• clan: 15-(32,16,4), 3 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,912) (# 7519) : der= 5-(24,9,912) and res= 5-(24,10,2736) - the given design is the derived.

# 7522: 5-(26,10,4788)

• clan: 15-(32,16,4), 4 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1140) (# 7520) : der= 5-(25,9,1140) and res= 5-(25,10,3648) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3648) (# 7521) : der= 5-(25,9,1140) and res= 5-(25,10,3648) - the given design is the residual.

# 7523: 5-(24,9,918)

• clan: 11-(30,15,918), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7524: 5-(25,10,3672)

• clan: 11-(30,15,918), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,918) (# 7523) : der= 5-(24,9,918) and res= 5-(24,10,2754) - the given design is the derived.

# 7525: 5-(24,9,924)

• clan: 13-(32,16,231), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

# 7526: 5-(25,9,1155)

• clan: 13-(32,16,231), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,924) (# 7525) : der= 5-(24,8,231) and res= 5-(24,9,924) - the given design is the residual.

# 7527: 5-(25,10,3696)

• clan: 13-(32,16,231), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,924) (# 7525) : der= 5-(24,9,924) and res= 5-(24,10,2772) - the given design is the derived.

# 7528: 5-(26,10,4851)

• clan: 13-(32,16,231), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1155) (# 7526) : der= 5-(25,9,1155) and res= 5-(25,10,3696) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3696) (# 7527) : der= 5-(25,9,1155) and res= 5-(25,10,3696) - the given design is the residual.

# 7529: 5-(26,11,12936)

• clan: 13-(32,16,231), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,3696) (# 7527) : der= 5-(25,10,3696) and res= 5-(25,11,9240) - the given design is the derived.

# 7530: 5-(27,11,17787)

• clan: 13-(32,16,231), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,4851) (# 7528) : der= 5-(26,10,4851) and res= 5-(26,11,12936) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,12936) (# 7529) : der= 5-(26,10,4851) and res= 5-(26,11,12936) - the given design is the residual.

# 7531: 5-(27,12,40656)

• clan: 13-(32,16,231), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,12936) (# 7529) : der= 5-(26,11,12936) and res= 5-(26,12,27720) - the given design is the derived.

# 7532: 5-(28,12,58443)

• clan: 13-(32,16,231), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,17787) (# 7530) : der= 5-(27,11,17787) and res= 5-(27,12,40656) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,40656) (# 7531) : der= 5-(27,11,17787) and res= 5-(27,12,40656) - the given design is the residual.

# 7533: 5-(28,13,116886)

• clan: 13-(32,16,231), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,40656) (# 7531) : der= 5-(27,12,40656) and res= 5-(27,13,76230) - the given design is the derived.

# 7534: 5-(29,13,175329)

• clan: 13-(32,16,231), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,58443) (# 7532) : der= 5-(28,12,58443) and res= 5-(28,13,116886) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,116886) (# 7533) : der= 5-(28,12,58443) and res= 5-(28,13,116886) - the given design is the residual.

# 7535: 5-(29,14,311696)

• clan: 13-(32,16,231), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,116886) (# 7533) : der= 5-(28,13,116886) and res= 5-(28,14,194810) - the given design is the derived.

# 7536: 5-(30,14,487025)

• clan: 13-(32,16,231), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,175329) (# 7534) : der= 5-(29,13,175329) and res= 5-(29,14,311696) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,311696) (# 7535) : der= 5-(29,13,175329) and res= 5-(29,14,311696) - the given design is the residual.

# 7537: 5-(30,15,779240)

• clan: 13-(32,16,231), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,311696) (# 7535)

# 7538: 5-(31,15,1266265)

• clan: 13-(32,16,231), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,487025) (# 7536) : der= 5-(30,14,487025) and res= 5-(30,15,779240) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,779240) (# 7537) : der= 5-(30,14,487025) and res= 5-(30,15,779240) - the given design is the residual.

# 7539: 5-(32,16,3108105)

• clan: 13-(32,16,231), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1266265) (# 7538)

# 7540: 5-(24,9,930)

• clan: 11-(30,15,930), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7541: 5-(25,10,3720)

• clan: 11-(30,15,930), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,930) (# 7540) : der= 5-(24,9,930) and res= 5-(24,10,2790) - the given design is the derived.

# 7542: 5-(24,9,936)

• clan: 13-(32,16,234), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7543: 5-(25,9,1170)

• clan: 13-(32,16,234), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,936) (# 7542) : der= 5-(24,8,234) and res= 5-(24,9,936) - the given design is the residual.
• derived from 6-(26,10,1170) (# 10475)
• derived from supplementary of 6-(26,10,3675) (# 13842)

# 7544: 5-(25,10,3744)

• clan: 13-(32,16,234), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,936) (# 7542) : der= 5-(24,9,936) and res= 5-(24,10,2808) - the given design is the derived.
• residual design of 6-(26,10,1170) (# 10475)
• derived from 6-(26,11,3744) (# 13840)
• residual design of supplementary of 6-(26,10,3675) (# 13842)
• derived from supplementary of 6-(26,11,11760) (# 13843)

# 7545: 5-(26,10,4914)

• clan: 13-(32,16,234), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1170) (# 7543) : der= 5-(25,9,1170) and res= 5-(25,10,3744) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3744) (# 7544) : der= 5-(25,9,1170) and res= 5-(25,10,3744) - the given design is the residual.
• design 6-(26,10,1170) (# 10475) with respect to smaller t
• derived from 6-(27,11,4914) (# 13839)
• derived from supplementary of 6-(27,11,15435) (# 13841)
• supplementary design of 6-(26,10,3675) (# 13842) with respect to smaller t

# 7546: 5-(24,9,942)

• clan: 11-(30,15,942), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7547: 5-(25,10,3768)

• clan: 11-(30,15,942), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,942) (# 7546) : der= 5-(24,9,942) and res= 5-(24,10,2826) - the given design is the derived.

# 7548: 5-(24,9,948)

• clan: 13-(32,16,237), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7549: 5-(25,9,1185)

• clan: 13-(32,16,237), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,948) (# 7548) : der= 5-(24,8,237) and res= 5-(24,9,948) - the given design is the residual.

# 7550: 5-(25,10,3792)

• clan: 13-(32,16,237), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,948) (# 7548) : der= 5-(24,9,948) and res= 5-(24,10,2844) - the given design is the derived.

# 7551: 5-(26,10,4977)

• clan: 13-(32,16,237), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1185) (# 7549) : der= 5-(25,9,1185) and res= 5-(25,10,3792) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3792) (# 7550) : der= 5-(25,9,1185) and res= 5-(25,10,3792) - the given design is the residual.

# 7552: 5-(24,9,954)

• clan: 11-(30,15,954), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7553: 5-(25,10,3816)

• clan: 11-(30,15,954), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,954) (# 7552) : der= 5-(24,9,954) and res= 5-(24,10,2862) - the given design is the derived.

# 7554: 5-(24,9,96)

• clan: 13-(32,16,24), 7 times derived, 1 times residual
• $PGL(2,23)$ (43 isomorphism types)

# 7555: 5-(25,9,120)

• clan: 13-(32,16,24), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,96) (# 7554) : der= 5-(24,8,24) and res= 5-(24,9,96) - the given design is the residual.

# 7556: 5-(25,10,384)

• clan: 13-(32,16,24), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,96) (# 7554) : der= 5-(24,9,96) and res= 5-(24,10,288) - the given design is the derived.
• $PSL(2,23)+$ TvT construction 5-(24,9,96) $\cup$ 5-(24,10,288)

# 7557: 5-(26,10,504)

• clan: 13-(32,16,24), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,120) (# 7555) : der= 5-(25,9,120) and res= 5-(25,10,384) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,384) (# 7556) : der= 5-(25,9,120) and res= 5-(25,10,384) - the given design is the residual.

# 7558: 5-(24,9,960)

• clan: 13-(32,16,240), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,9,240) (# 10434)

# 7559: 5-(25,9,1200)

• clan: 13-(32,16,240), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,960) (# 7558) : der= 5-(24,8,240) and res= 5-(24,9,960) - the given design is the residual.
• design 6-(25,9,240) (# 10434) with respect to smaller t
• derived from 6-(26,10,1200) (# 10479)
• derived from supplementary of 6-(26,10,3645) (# 13872)

# 7560: 5-(25,10,3840)

• clan: 13-(32,16,240), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,960) (# 7558) : der= 5-(24,9,960) and res= 5-(24,10,2880) - the given design is the derived.
• residual design of 6-(26,10,1200) (# 10479)
• derived from 6-(26,11,3840) (# 13870)
• residual design of supplementary of 6-(26,10,3645) (# 13872)
• derived from supplementary of 6-(26,11,11664) (# 13873)

# 7561: 5-(26,10,5040)

• clan: 13-(32,16,240), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1200) (# 7559) : der= 5-(25,9,1200) and res= 5-(25,10,3840) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3840) (# 7560) : der= 5-(25,9,1200) and res= 5-(25,10,3840) - the given design is the residual.
• design 6-(26,10,1200) (# 10479) with respect to smaller t
• derived from 6-(27,11,5040) (# 13869)
• derived from supplementary of 6-(27,11,15309) (# 13871)
• supplementary design of 6-(26,10,3645) (# 13872) with respect to smaller t

# 7562: 5-(24,9,966)

• clan: 11-(30,15,966), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7563: 5-(25,10,3864)

• clan: 11-(30,15,966), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,966) (# 7562) : der= 5-(24,9,966) and res= 5-(24,10,2898) - the given design is the derived.

# 7564: 5-(24,9,972)

• clan: 13-(32,16,243), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7565: 5-(25,9,1215)

• clan: 13-(32,16,243), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,972) (# 7564) : der= 5-(24,8,243) and res= 5-(24,9,972) - the given design is the residual.
• derived from 6-(26,10,1215) (# 13878)
• derived from supplementary of 6-(26,10,3630) (# 13881)

# 7566: 5-(25,10,3888)

• clan: 13-(32,16,243), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,972) (# 7564) : der= 5-(24,9,972) and res= 5-(24,10,2916) - the given design is the derived.
• residual design of 6-(26,10,1215) (# 13878)
• derived from 6-(26,11,3888) (# 13879)
• residual design of supplementary of 6-(26,10,3630) (# 13881)
• derived from supplementary of 6-(26,11,11616) (# 13882)

# 7567: 5-(26,10,5103)

• clan: 13-(32,16,243), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1215) (# 7565) : der= 5-(25,9,1215) and res= 5-(25,10,3888) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3888) (# 7566) : der= 5-(25,9,1215) and res= 5-(25,10,3888) - the given design is the residual.
• derived from 6-(27,11,5103) (# 10645)
• design 6-(26,10,1215) (# 13878) with respect to smaller t
• derived from supplementary of 6-(27,11,15246) (# 13880)
• supplementary design of 6-(26,10,3630) (# 13881) with respect to smaller t

# 7568: 5-(26,11,13608)

• clan: 13-(32,16,243), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,3888) (# 7566) : der= 5-(25,10,3888) and res= 5-(25,11,9720) - the given design is the derived.
• residual design of 6-(27,11,5103) (# 10645)
• derived from 6-(27,12,13608) (# 10798)
• design 6-(26,11,3888) (# 13879) with respect to smaller t
• residual design of supplementary of 6-(27,11,15246) (# 13880)
• supplementary design of 6-(26,11,11616) (# 13882) with respect to smaller t
• derived from supplementary of 6-(27,12,40656) (# 14695)

# 7569: 5-(27,11,18711)

• clan: 13-(32,16,243), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,5103) (# 7567) : der= 5-(26,10,5103) and res= 5-(26,11,13608) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,13608) (# 7568) : der= 5-(26,10,5103) and res= 5-(26,11,13608) - the given design is the residual.
• design 6-(27,11,5103) (# 10645) with respect to smaller t
• derived from 6-(28,12,18711) (# 10801)
• supplementary design of 6-(27,11,15246) (# 13880) with respect to smaller t
• derived from supplementary of 6-(28,12,55902) (# 14699)

# 7570: 5-(27,12,42768)

• clan: 13-(32,16,243), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,13608) (# 7568) : der= 5-(26,11,13608) and res= 5-(26,12,29160) - the given design is the derived.
• design 6-(27,12,13608) (# 10798) with respect to smaller t
• residual design of 6-(28,12,18711) (# 10801)
• supplementary design of 6-(27,12,40656) (# 14695) with respect to smaller t
• residual design of supplementary of 6-(28,12,55902) (# 14699)

# 7571: 5-(28,12,61479)

• clan: 13-(32,16,243), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,18711) (# 7569) : der= 5-(27,11,18711) and res= 5-(27,12,42768) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,42768) (# 7570) : der= 5-(27,11,18711) and res= 5-(27,12,42768) - the given design is the residual.
• design 6-(28,12,18711) (# 10801) with respect to smaller t
• supplementary design of 6-(28,12,55902) (# 14699) with respect to smaller t

# 7572: 5-(28,13,122958)

• clan: 13-(32,16,243), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,42768) (# 7570) : der= 5-(27,12,42768) and res= 5-(27,13,80190) - the given design is the derived.

# 7573: 5-(29,13,184437)

• clan: 13-(32,16,243), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,61479) (# 7571) : der= 5-(28,12,61479) and res= 5-(28,13,122958) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,122958) (# 7572) : der= 5-(28,12,61479) and res= 5-(28,13,122958) - the given design is the residual.

# 7574: 5-(29,14,327888)

• clan: 13-(32,16,243), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,122958) (# 7572) : der= 5-(28,13,122958) and res= 5-(28,14,204930) - the given design is the derived.

# 7575: 5-(30,14,512325)

• clan: 13-(32,16,243), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,184437) (# 7573) : der= 5-(29,13,184437) and res= 5-(29,14,327888) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,327888) (# 7574) : der= 5-(29,13,184437) and res= 5-(29,14,327888) - the given design is the residual.

# 7576: 5-(30,15,819720)

• clan: 13-(32,16,243), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,327888) (# 7574)

# 7577: 5-(31,15,1332045)

• clan: 13-(32,16,243), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,512325) (# 7575) : der= 5-(30,14,512325) and res= 5-(30,15,819720) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,819720) (# 7576) : der= 5-(30,14,512325) and res= 5-(30,15,819720) - the given design is the residual.

# 7578: 5-(32,16,3269565)

• clan: 13-(32,16,243), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1332045) (# 7577)

# 7579: 5-(24,9,978)

• clan: 11-(30,15,978), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7580: 5-(25,10,3912)

• clan: 11-(30,15,978), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,978) (# 7579) : der= 5-(24,9,978) and res= 5-(24,10,2934) - the given design is the derived.

# 7581: 5-(24,9,984)

• clan: 13-(32,16,246), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7582: 5-(25,9,1230)

• clan: 13-(32,16,246), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,984) (# 7581) : der= 5-(24,8,246) and res= 5-(24,9,984) - the given design is the residual.

# 7583: 5-(25,10,3936)

• clan: 13-(32,16,246), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,984) (# 7581) : der= 5-(24,9,984) and res= 5-(24,10,2952) - the given design is the derived.

# 7584: 5-(26,10,5166)

• clan: 13-(32,16,246), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1230) (# 7582) : der= 5-(25,9,1230) and res= 5-(25,10,3936) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3936) (# 7583) : der= 5-(25,9,1230) and res= 5-(25,10,3936) - the given design is the residual.

# 7585: 5-(24,9,990)

• clan: 11-(30,15,990), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7586: 5-(25,10,3960)

• clan: 11-(30,15,990), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,990) (# 7585) : der= 5-(24,9,990) and res= 5-(24,10,2970) - the given design is the derived.

# 7587: 5-(26,11,13860)

• clan: 11-(30,15,990), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,3960) (# 7586) : der= 5-(25,10,3960) and res= 5-(25,11,9900) - the given design is the derived.

# 7588: 5-(27,12,43560)

• clan: 11-(30,15,990), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,13860) (# 7587) : der= 5-(26,11,13860) and res= 5-(26,12,29700) - the given design is the derived.

# 7589: 5-(28,13,125235)

• clan: 11-(30,15,990), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,43560) (# 7588) : der= 5-(27,12,43560) and res= 5-(27,13,81675) - the given design is the derived.

# 7590: 5-(29,14,333960)

• clan: 11-(30,15,990), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,125235) (# 7589) : der= 5-(28,13,125235) and res= 5-(28,14,208725) - the given design is the derived.

# 7591: 5-(30,15,834900)

• clan: 11-(30,15,990), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,333960) (# 7590)

# 7592: 5-(24,9,996)

• clan: 13-(32,16,249), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)
• residual design of 6-(25,9,249) (# 10437)

# 7593: 5-(25,9,1245)

• clan: 13-(32,16,249), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,996) (# 7592) : der= 5-(24,8,249) and res= 5-(24,9,996) - the given design is the residual.
• design 6-(25,9,249) (# 10437) with respect to smaller t
• derived from 6-(26,10,1245) (# 10482)

# 7594: 5-(25,10,3984)

• clan: 13-(32,16,249), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,996) (# 7592) : der= 5-(24,9,996) and res= 5-(24,10,2988) - the given design is the derived.
• residual design of 6-(26,10,1245) (# 10482)

# 7595: 5-(26,10,5229)

• clan: 13-(32,16,249), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1245) (# 7593) : der= 5-(25,9,1245) and res= 5-(25,10,3984) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3984) (# 7594) : der= 5-(25,9,1245) and res= 5-(25,10,3984) - the given design is the residual.
• design 6-(26,10,1245) (# 10482) with respect to smaller t

# 7596: 5-(244,6,1)

• clan: 237-(476,238,1), 232 times derived
• $P\Sigma_L(2,3^5)$ \cite{BettenMolodtsovLaueWassermann98} >= 303 isomorphism types

# 7597: 5-(244,6,2)

• clan: 237-(476,238,2), 232 times derived
• $P\Sigma_L(2,3^5)$ \cite{BettenMolodtsovLaueWassermann98}

# 7598: 5-(26,6,9)

• clan: 5-(26,6,9)
• $HOL(C_{26})$

# 7599: 5-(27,9,420)

• clan: 6-(28,10,420), 1 times derived
• $PGL(2,25)+$

created: Fri Oct 23 11:11:29 CEST 2009