t designs with small t, id ge 6100

• clan: 17-(36,18,16), 10 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6101: 5-(24,8,817)

• clan: 6-(24,8,129), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6102: 5-(24,8,818)

• clan: 5-(24,8,818)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6103: 5-(24,8,819)

• clan: 13-(32,16,819), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6104: 5-(24,8,82)

• clan: 5-(24,8,82)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6105: 5-(24,8,820)

• clan: 5-(24,8,820)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6106: 5-(24,8,821)

• clan: 5-(24,8,821)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6107: 5-(24,8,822)

• clan: 13-(32,16,822), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6108: 5-(24,8,823)

• clan: 5-(24,8,823)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6109: 5-(24,8,824)

• clan: 5-(24,8,824)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6110: 5-(24,8,825)

• clan: 13-(32,16,825), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from supplementary of 6-(25,9,144) (# 10417)

# 6111: 5-(24,8,826)

• clan: 5-(24,8,826)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6112: 5-(24,8,827)

• clan: 5-(24,8,827)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6113: 5-(24,8,828)

• clan: 13-(32,16,828), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6114: 5-(24,8,829)

• clan: 5-(24,8,829)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6115: 5-(24,8,83)

• clan: 5-(24,8,83)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6116: 5-(24,8,830)

• clan: 5-(24,8,830)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6117: 5-(24,8,831)

• clan: 13-(32,16,831), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6118: 5-(24,8,832)

• clan: 5-(24,8,832)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6119: 5-(24,8,833)

• clan: 6-(25,8,147), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6120: 5-(24,8,834)

• clan: 13-(32,16,834), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6121: 5-(24,8,835)

• clan: 5-(24,8,835)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6122: 5-(24,8,836)

• clan: 6-(24,8,132), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6123: 5-(24,8,837)

• clan: 13-(32,16,837), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6124: 5-(24,8,838)

• clan: 5-(24,8,838)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6125: 5-(24,8,839)

• clan: 5-(24,8,839)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6126: 5-(24,8,84)

• clan: 13-(32,16,84), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6127: 5-(24,8,840)

• clan: 13-(32,16,840), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6128: 5-(24,8,841)

• clan: 5-(24,8,841)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6129: 5-(24,8,842)

• clan: 5-(24,8,842)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6130: 5-(24,8,843)

• clan: 13-(32,16,843), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6131: 5-(24,8,844)

• clan: 5-(24,8,844)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6132: 5-(24,8,845)

• clan: 5-(24,8,845)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6133: 5-(24,8,846)

• clan: 13-(32,16,846), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6134: 5-(24,8,847)

• clan: 5-(24,8,847)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6135: 5-(24,8,848)

• clan: 5-(24,8,848)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6136: 5-(24,8,849)

• clan: 13-(32,16,849), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6137: 5-(24,8,85)

• clan: 6-(25,8,15), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6138: 5-(25,8,100)

• clan: 6-(25,8,15), 1 times reduced t
• Tran van Trung construction (left) for 5-(24,8,85) (# 6137) : der= 5-(24,7,15) and res= 5-(24,8,85) - the given design is the residual.

# 6139: 5-(24,8,850)

• clan: 6-(25,8,150), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6140: 5-(24,8,851)

• clan: 5-(24,8,851)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6141: 5-(24,8,852)

• clan: 13-(32,16,852), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6142: 5-(24,8,853)

• clan: 5-(24,8,853)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6143: 5-(24,8,854)

• clan: 5-(24,8,854)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6144: 5-(24,8,855)

• clan: 15-(32,16,15), 2 times reduced t, 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6145: 5-(24,8,856)

• clan: 5-(24,8,856)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6146: 5-(24,8,857)

• clan: 5-(24,8,857)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6147: 5-(24,8,858)

• clan: 13-(32,16,858), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6148: 5-(24,8,859)

• clan: 5-(24,8,859)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6149: 5-(24,8,86)

• clan: 5-(24,8,86)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6150: 5-(24,8,860)

• clan: 5-(24,8,860)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6151: 5-(24,8,861)

• clan: 13-(32,16,861), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6152: 5-(24,8,862)

• clan: 5-(24,8,862)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6153: 5-(24,8,863)

• clan: 5-(24,8,863)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6154: 5-(24,8,864)

• clan: 13-(32,16,864), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from supplementary of 6-(25,9,105) (# 10414)

# 6155: 5-(24,8,865)

• clan: 5-(24,8,865)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6156: 5-(24,8,866)

• clan: 5-(24,8,866)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6157: 5-(24,8,867)

• clan: 17-(36,18,17), 10 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6158: 5-(24,8,868)

• clan: 5-(24,8,868)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6159: 5-(24,8,869)

• clan: 5-(24,8,869)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6160: 5-(24,8,87)

• clan: 13-(32,16,87), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6161: 5-(24,8,870)

• clan: 13-(32,16,870), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6162: 5-(24,8,871)

• clan: 5-(24,8,871)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6163: 5-(24,8,872)

• clan: 5-(24,8,872)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6164: 5-(24,8,873)

• clan: 13-(32,16,873), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6165: 5-(24,8,874)

• clan: 6-(24,8,138), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6166: 5-(24,8,875)

• clan: 5-(24,8,875)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6167: 5-(24,8,876)

• clan: 13-(32,16,876), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6168: 5-(24,8,877)

• clan: 5-(24,8,877)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6169: 5-(24,8,878)

• clan: 5-(24,8,878)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6170: 5-(24,8,879)

• clan: 13-(32,16,879), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6171: 5-(24,8,88)

• clan: 5-(24,8,88)
• $PGL(2,23)$

# 6172: 5-(24,8,880)

• clan: 5-(24,8,880)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6173: 5-(24,8,881)

• clan: 5-(24,8,881)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6174: 5-(24,8,882)

• clan: 13-(32,16,882), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6175: 5-(24,8,883)

• clan: 5-(24,8,883)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6176: 5-(24,8,884)

• clan: 6-(25,8,156), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6177: 5-(24,8,885)

• clan: 13-(32,16,885), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6178: 5-(24,8,89)

• clan: 5-(24,8,89)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6179: 5-(24,8,9)

• clan: 13-(32,16,9), 8 times derived
• \cite{KramerMagliveras74}

# 6180: 5-(24,8,90)

• clan: 13-(32,16,90), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6181: 5-(24,8,91)

• clan: 5-(24,8,91)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6182: 5-(24,8,92)

• clan: 5-(24,8,92)
• $PGL(2,23)$

# 6183: 5-(24,8,93)

• clan: 13-(32,16,93), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6184: 5-(24,8,94)

• clan: 5-(24,8,94)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6185: 5-(24,8,95)

• clan: 6-(24,8,15), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6186: 5-(24,8,96)

• clan: 13-(32,16,96), 8 times derived
• $PGL(2,23)$

# 6187: 5-(24,8,97)

• clan: 5-(24,8,97)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6188: 5-(24,8,98)

• clan: 5-(24,8,98)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6189: 5-(24,8,99)

• clan: 13-(32,16,99), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6190: 5-(24,9,1002)

• clan: 11-(30,15,1002), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6191: 5-(25,10,4008)

• clan: 11-(30,15,1002), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1002) (# 6190) : der= 5-(24,9,1002) and res= 5-(24,10,3006) - the given design is the derived.

# 6192: 5-(24,9,1008)

• clan: 13-(32,16,252), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

# 6193: 5-(25,9,1260)

• clan: 13-(32,16,252), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1008) (# 6192) : der= 5-(24,8,252) and res= 5-(24,9,1008) - the given design is the residual.

# 6194: 5-(25,10,4032)

• clan: 13-(32,16,252), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1008) (# 6192) : der= 5-(24,9,1008) and res= 5-(24,10,3024) - the given design is the derived.

# 6195: 5-(26,10,5292)

• clan: 13-(32,16,252), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1260) (# 6193) : der= 5-(25,9,1260) and res= 5-(25,10,4032) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4032) (# 6194) : der= 5-(25,9,1260) and res= 5-(25,10,4032) - the given design is the residual.

# 6196: 5-(24,9,1014)

• clan: 11-(30,15,1014), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6197: 5-(25,10,4056)

• clan: 11-(30,15,1014), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1014) (# 6196) : der= 5-(24,9,1014) and res= 5-(24,10,3042) - the given design is the derived.

# 6198: 5-(24,9,102)

• clan: 11-(30,15,102), 6 times derived
• $PGL(2,23)$ (38 isomorphism types)

# 6199: 5-(25,10,408)

• clan: 11-(30,15,102), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,102) (# 6198) : der= 5-(24,9,102) and res= 5-(24,10,306) - the given design is the derived.
• $PSL(2,23)+$ TvT construction 5-(24,9,102) $\cup$ 5-(24,10,306)

created: Fri Oct 23 11:10:14 CEST 2009