clan: 7-(24,12,1946), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,5838) (# 9241)
design 6-(24,12,5838) (# 9243) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,10008) (# 9248) : der= 5-(23,11,5838) and res= 5-(23,12,10008) - the given design is the residual.
supplementary design of 6-(24,12,12726) (# 9252) with respect to smaller t

# 2750: 5-(24,12,15852)

clan: 5-(24,12,15852)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2751: 5-(24,12,15858)

clan: 5-(24,12,15858)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2752: 5-(24,12,15864)

clan: 5-(24,12,15864)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2753: 5-(24,12,15870)

clan: 5-(24,12,15870)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2754: 5-(24,12,15876)

clan: 5-(24,12,15876)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2755: 5-(24,12,15882)

clan: 5-(24,12,15882)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2756: 5-(24,12,15888)

clan: 5-(24,12,15888)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2757: 5-(24,12,15894)

clan: 5-(24,12,15894)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2758: 5-(24,12,15900)

clan: 5-(24,12,15900)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2759: 5-(24,12,15906)

clan: 5-(24,12,15906)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2760: 5-(24,12,15912)

clan: 17-(36,18,6), 6 times derived, 6 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2761: 5-(24,12,15918)

clan: 5-(24,12,15918)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2762: 5-(24,12,15924)

clan: 5-(24,12,15924)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2763: 5-(24,12,15930)

clan: 5-(24,12,15930)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2764: 5-(24,12,15936)

clan: 5-(24,12,15936)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2765: 5-(24,12,15942)

clan: 5-(24,12,15942)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2766: 5-(24,12,15948)

clan: 5-(24,12,15948)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2767: 5-(24,12,15954)

clan: 5-(24,12,15954)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2768: 5-(24,12,15960)

clan: 7-(24,12,1960), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2769: 5-(24,12,15966)

clan: 5-(24,12,15966)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2770: 5-(24,12,15972)

clan: 5-(24,12,15972)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2771: 5-(24,12,15978)

clan: 5-(24,12,15978)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2772: 5-(24,12,15984)

clan: 5-(24,12,15984)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2773: 5-(24,12,15990)

clan: 11-(30,15,1230), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2774: 5-(24,12,15996)

clan: 5-(24,12,15996)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2775: 5-(24,12,16002)

clan: 5-(24,12,16002)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2776: 5-(24,12,16008)

clan: 5-(24,12,16008)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2777: 5-(24,12,16014)

clan: 5-(24,12,16014)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2778: 5-(24,12,16020)

clan: 5-(24,12,16020)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2779: 5-(24,12,16026)

clan: 5-(24,12,16026)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2780: 5-(24,12,16032)

clan: 5-(24,12,16032)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2781: 5-(24,12,16038)

clan: 5-(24,12,16038)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2782: 5-(24,12,16044)

clan: 5-(24,12,16044)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2783: 5-(24,12,16050)

clan: 5-(24,12,16050)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2784: 5-(24,12,16056)

clan: 5-(24,12,16056)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2785: 5-(24,12,16062)

clan: 5-(24,12,16062)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2786: 5-(24,12,16068)

clan: 13-(32,16,309), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,8652) (# 9920)
derived from 6-(25,13,16068) (# 9929)
residual design of supplementary of 6-(25,12,18480) (# 9931)
derived from supplementary of 6-(25,13,34320) (# 9932)

# 2787: 5-(25,12,24720)

clan: 13-(32,16,309), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,16068) (# 2786) : der= 5-(24,11,8652) and res= 5-(24,12,16068) - the given design is the residual.
design 6-(25,12,8652) (# 9920) with respect to smaller t
derived from 6-(26,13,24720) (# 9921)
derived from supplementary of 6-(26,13,52800) (# 9930)
supplementary design of 6-(25,12,18480) (# 9931) with respect to smaller t

# 2788: 5-(26,13,64890)

clan: 13-(32,16,309), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,24720) (# 2787)
design 6-(26,13,24720) (# 9921) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,40170) (# 9926) : der= 5-(25,12,24720) and res= 5-(25,13,40170) - the given design is the residual.
supplementary design of 6-(26,13,52800) (# 9930) with respect to smaller t

# 2789: 5-(26,12,37080)

clan: 13-(32,16,309), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,24720) (# 2787) : der= 5-(25,11,12360) and res= 5-(25,12,24720) - the given design is the residual.

# 2790: 5-(27,13,101970)

clan: 13-(32,16,309), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,64890) (# 2788) : der= 5-(26,12,37080) and res= 5-(26,13,64890) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,37080) (# 2789) : der= 5-(26,12,37080) and res= 5-(26,13,64890) - the given design is the derived.

# 2791: 5-(28,14,260590)