clan: 7-(24,12,1526), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,4578) (# 9037)
design 6-(24,12,4578) (# 9039) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,7848) (# 9044) : der= 5-(23,11,4578) and res= 5-(23,12,7848) - the given design is the residual.
supplementary design of 6-(24,12,13986) (# 9048) with respect to smaller t

# 2123: 5-(24,12,12432)

clan: 5-(24,12,12432)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2124: 5-(24,12,12438)

clan: 5-(24,12,12438)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2125: 5-(24,12,12444)

clan: 5-(24,12,12444)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2126: 5-(24,12,12450)

clan: 5-(24,12,12450)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2127: 5-(24,12,12456)

clan: 5-(24,12,12456)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2128: 5-(24,12,12462)

clan: 5-(24,12,12462)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2129: 5-(24,12,12468)

clan: 5-(24,12,12468)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2130: 5-(24,12,12474)

clan: 5-(24,12,12474)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2131: 5-(24,12,12480)

clan: 13-(32,16,240), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2132: 5-(24,12,12486)

clan: 5-(24,12,12486)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2133: 5-(24,12,12492)

clan: 5-(24,12,12492)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2134: 5-(24,12,12498)

clan: 5-(24,12,12498)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2135: 5-(24,12,12504)

clan: 5-(24,12,12504)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2136: 5-(24,12,12510)

clan: 5-(24,12,12510)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2137: 5-(24,12,12516)

clan: 5-(24,12,12516)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2138: 5-(24,12,12522)

clan: 5-(24,12,12522)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2139: 5-(24,12,12528)

clan: 5-(24,12,12528)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2140: 5-(24,12,12534)

clan: 5-(24,12,12534)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2141: 5-(24,12,1254)

clan: 7-(24,12,154), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2142: 5-(24,12,12540)

clan: 7-(24,12,1540), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2143: 5-(24,12,12546)

clan: 5-(24,12,12546)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2144: 5-(24,12,12552)

clan: 5-(24,12,12552)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2145: 5-(24,12,12558)

clan: 11-(30,15,966), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2146: 5-(24,12,12564)

clan: 5-(24,12,12564)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2147: 5-(24,12,12570)

clan: 5-(24,12,12570)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2148: 5-(24,12,12576)

clan: 5-(24,12,12576)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2149: 5-(24,12,12582)

clan: 5-(24,12,12582)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2150: 5-(24,12,12588)

clan: 5-(24,12,12588)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2151: 5-(24,12,12594)

clan: 5-(24,12,12594)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2152: 5-(24,12,12600)

clan: 5-(24,12,12600)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2153: 5-(24,12,12606)

clan: 5-(24,12,12606)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2154: 5-(24,12,12612)

clan: 5-(24,12,12612)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2155: 5-(24,12,12618)

clan: 5-(24,12,12618)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2156: 5-(24,12,12624)

clan: 5-(24,12,12624)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2157: 5-(24,12,12630)

clan: 5-(24,12,12630)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2158: 5-(24,12,12636)

clan: 13-(32,16,243), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2159: 5-(25,12,19440)

clan: 13-(32,16,243), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,12636) (# 2158) : der= 5-(24,11,6804) and res= 5-(24,12,12636) - the given design is the residual.
residual design of 6-(26,12,9720) (# 14694)
residual design of supplementary of 6-(26,12,29040) (# 14696)

# 2160: 5-(26,13,51030)

clan: 13-(32,16,243), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,19440) (# 2159)

# 2161: 5-(26,12,29160)

clan: 13-(32,16,243), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,19440) (# 2159) : der= 5-(25,11,9720) and res= 5-(25,12,19440) - the given design is the residual.
residual design of 6-(27,12,13608) (# 10798)
design 6-(26,12,9720) (# 14694) with respect to smaller t
residual design of supplementary of 6-(27,12,40656) (# 14695)
supplementary design of 6-(26,12,29040) (# 14696) with respect to smaller t

# 2162: 5-(27,13,80190)

clan: 13-(32,16,243), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,51030) (# 2160) : der= 5-(26,12,29160) and res= 5-(26,13,51030) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,29160) (# 2161) : der= 5-(26,12,29160) and res= 5-(26,13,51030) - the given design is the derived.

# 2163: 5-(28,14,204930)

clan: 13-(32,16,243), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,80190) (# 2162)

# 2164: 5-(24,12,12642)

clan: 5-(24,12,12642)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2165: 5-(24,12,12648)

clan: 5-(24,12,12648)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2166: 5-(24,12,12654)

clan: 7-(24,12,1554), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2167: 5-(24,12,12660)

clan: 5-(24,12,12660)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2168: 5-(24,12,12666)

clan: 5-(24,12,12666)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2169: 5-(24,12,12672)

clan: 5-(24,12,12672)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2170: 5-(24,12,12678)

clan: 5-(24,12,12678)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2171: 5-(24,12,12684)

clan: 5-(24,12,12684)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2172: 5-(24,12,12690)

clan: 5-(24,12,12690)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2173: 5-(24,12,12696)

clan: 5-(24,12,12696)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2174: 5-(24,12,12702)

clan: 5-(24,12,12702)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2175: 5-(24,12,12708)

clan: 5-(24,12,12708)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2176: 5-(24,12,12714)

clan: 11-(30,15,978), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2177: 5-(24,12,12720)

clan: 5-(24,12,12720)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2178: 5-(24,12,12726)

clan: 5-(24,12,12726)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2179: 5-(24,12,12732)

clan: 5-(24,12,12732)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2180: 5-(24,12,12738)

clan: 5-(24,12,12738)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2181: 5-(24,12,12744)

clan: 5-(24,12,12744)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2182: 5-(24,12,12750)

clan: 5-(24,12,12750)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2183: 5-(24,12,12756)

clan: 5-(24,12,12756)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2184: 5-(24,12,12762)

clan: 5-(24,12,12762)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2185: 5-(24,12,12768)

clan: 7-(24,12,1568), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,4704) (# 9055)
design 6-(24,12,4704) (# 9057) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,8064) (# 9062) : der= 5-(23,11,4704) and res= 5-(23,12,8064) - the given design is the residual.
supplementary design of 6-(24,12,13860) (# 9066) with respect to smaller t

# 2186: 5-(24,12,12774)