clan: 17-(36,18,8), 2 times reduced t, 5 times derived, 5 times residual
Tran van Trung construction with complementary design for 5-(25,12,32640) (# 3715)
design 6-(26,13,32640) (# 10107) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,53040) (# 10112) : der= 5-(25,12,32640) and res= 5-(25,13,53040) - the given design is the residual.
supplementary design of 6-(26,13,44880) (# 10116) with respect to smaller t

# 3717: 5-(26,12,48960)

clan: 17-(36,18,8), 2 times reduced t, 6 times derived, 4 times residual
Tran van Trung construction (left) for 5-(25,12,32640) (# 3715) : der= 5-(25,11,16320) and res= 5-(25,12,32640) - the given design is the residual.

# 3718: 5-(27,13,134640)

clan: 17-(36,18,8), 3 times reduced t, 5 times derived, 4 times residual
Tran van Trung construction (left) for 5-(26,13,85680) (# 3716) : der= 5-(26,12,48960) and res= 5-(26,13,85680) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,48960) (# 3717) : der= 5-(26,12,48960) and res= 5-(26,13,85680) - the given design is the derived.

# 3719: 5-(28,14,344080)

clan: 17-(36,18,8), 4 times reduced t, 4 times derived, 4 times residual
Tran van Trung construction with complementary design for 5-(27,13,134640) (# 3718)

# 3720: 5-(24,12,21222)

clan: 5-(24,12,21222)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3721: 5-(24,12,21228)

clan: 5-(24,12,21228)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3722: 5-(24,12,21234)

clan: 5-(24,12,21234)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3723: 5-(24,12,21240)

clan: 5-(24,12,21240)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3724: 5-(24,12,21246)

clan: 5-(24,12,21246)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3725: 5-(24,12,21252)

clan: 5-(24,12,21252)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3726: 5-(24,12,21258)

clan: 5-(24,12,21258)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3727: 5-(24,12,21264)

clan: 5-(24,12,21264)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3728: 5-(24,12,21270)

clan: 5-(24,12,21270)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3729: 5-(24,12,21276)

clan: 5-(24,12,21276)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3730: 5-(24,12,21282)

clan: 5-(24,12,21282)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3731: 5-(24,12,21288)

clan: 5-(24,12,21288)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3732: 5-(24,12,21294)

clan: 11-(30,15,1638), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3733: 5-(24,12,21300)

clan: 5-(24,12,21300)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3734: 5-(24,12,21306)

clan: 5-(24,12,21306)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3735: 5-(24,12,21312)

clan: 5-(24,12,21312)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3736: 5-(24,12,21318)

clan: 8-(24,12,770), 3 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
\cite{Bluskov}

# 3737: 5-(24,12,21324)

clan: 5-(24,12,21324)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3738: 5-(24,12,21330)

clan: 5-(24,12,21330)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3739: 5-(24,12,21336)

clan: 5-(24,12,21336)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3740: 5-(24,12,21342)

clan: 5-(24,12,21342)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3741: 5-(24,12,21348)

clan: 5-(24,12,21348)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3742: 5-(24,12,21354)

clan: 5-(24,12,21354)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3743: 5-(24,12,21360)

clan: 5-(24,12,21360)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3744: 5-(24,12,21366)

clan: 5-(24,12,21366)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3745: 5-(24,12,21372)

clan: 13-(32,16,411), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3746: 5-(24,12,21378)

clan: 5-(24,12,21378)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3747: 5-(24,12,21384)

clan: 5-(24,12,21384)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3748: 5-(24,12,21390)

clan: 5-(24,12,21390)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3749: 5-(24,12,21396)

clan: 5-(24,12,21396)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3750: 5-(24,12,21402)

clan: 5-(24,12,21402)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3751: 5-(24,12,21408)

clan: 5-(24,12,21408)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3752: 5-(24,12,21414)

clan: 5-(24,12,21414)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3753: 5-(24,12,2142)

clan: 5-(24,12,2142)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3754: 5-(24,12,21420)

clan: 5-(24,12,21420)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3755: 5-(24,12,21426)

clan: 5-(24,12,21426)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3756: 5-(24,12,21432)

clan: 7-(24,12,2632), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,12,7896) (# 9808) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,7896) (# 9809)
Tran van Trung construction (right) for 5-(23,11,7896) (# 9809) : der= 5-(23,11,7896) and res= 5-(23,12,13536) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,13536) (# 9810) : der= 5-(23,11,7896) and res= 5-(23,12,13536) - the given design is the residual.

# 3757: 5-(24,12,21438)

clan: 5-(24,12,21438)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3758: 5-(24,12,21444)

clan: 5-(24,12,21444)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3759: 5-(24,12,21450)

clan: 11-(30,15,1650), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,11550) (# 10122)
derived from 6-(25,13,21450) (# 10135)
residual design of supplementary of 6-(25,12,15582) (# 10137)
derived from supplementary of 6-(25,13,28938) (# 10138)

# 3760: 5-(24,12,21456)

clan: 5-(24,12,21456)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3761: 5-(24,12,21462)

clan: 5-(24,12,21462)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3762: 5-(24,12,21468)

clan: 5-(24,12,21468)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3763: 5-(24,12,21474)

clan: 5-(24,12,21474)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3764: 5-(24,12,21480)

clan: 5-(24,12,21480)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3765: 5-(24,12,21486)

clan: 5-(24,12,21486)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3766: 5-(24,12,21492)

clan: 5-(24,12,21492)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3767: 5-(24,12,21498)

clan: 5-(24,12,21498)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3768: 5-(24,12,21504)

clan: 5-(24,12,21504)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3769: 5-(24,12,21510)

clan: 5-(24,12,21510)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3770: 5-(24,12,21516)

clan: 5-(24,12,21516)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3771: 5-(24,12,21522)

clan: 5-(24,12,21522)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3772: 5-(24,12,21528)

clan: 13-(32,16,414), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3773: 5-(24,12,21534)

clan: 5-(24,12,21534)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3774: 5-(24,12,21540)

clan: 5-(24,12,21540)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3775: 5-(24,12,21546)

clan: 7-(24,12,2646), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,7938) (# 9532)
design 6-(24,12,7938) (# 9534) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,13608) (# 9539) : der= 5-(23,11,7938) and res= 5-(23,12,13608) - the given design is the residual.
supplementary design of 6-(24,12,10626) (# 9543) with respect to smaller t

# 3776: 5-(24,12,21552)

clan: 5-(24,12,21552)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3777: 5-(24,12,21558)

clan: 5-(24,12,21558)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3778: 5-(24,12,21564)

clan: 5-(24,12,21564)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3779: 5-(24,12,21570)

clan: 5-(24,12,21570)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3780: 5-(24,12,21576)

clan: 5-(24,12,21576)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3781: 5-(24,12,21582)

clan: 5-(24,12,21582)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3782: 5-(24,12,21588)

clan: 5-(24,12,21588)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3783: 5-(24,12,21594)

clan: 5-(24,12,21594)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3784: 5-(24,12,2160)

clan: 5-(24,12,2160)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3785: 5-(24,12,21600)

clan: 5-(24,12,21600)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3786: 5-(24,12,21606)

clan: 11-(30,15,1662), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3787: 5-(24,12,21612)

clan: 5-(24,12,21612)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3788: 5-(24,12,21618)

clan: 5-(24,12,21618)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3789: 5-(24,12,21624)

clan: 5-(24,12,21624)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3790: 5-(24,12,21630)

clan: 5-(24,12,21630)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3791: 5-(24,12,21636)

clan: 5-(24,12,21636)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3792: 5-(24,12,21642)

clan: 5-(24,12,21642)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3793: 5-(24,12,21648)

clan: 5-(24,12,21648)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3794: 5-(24,12,21654)

clan: 5-(24,12,21654)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3795: 5-(24,12,21660)

clan: 7-(24,12,2660), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,7980) (# 9550)
design 6-(24,12,7980) (# 9552) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,13680) (# 9557) : der= 5-(23,11,7980) and res= 5-(23,12,13680) - the given design is the residual.
supplementary design of 6-(24,12,10584) (# 9561) with respect to smaller t

# 3796: 5-(24,12,21666)

clan: 5-(24,12,21666)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3797: 5-(24,12,21672)

clan: 5-(24,12,21672)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3798: 5-(24,12,21678)

clan: 5-(24,12,21678)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3799: 5-(24,12,21684)

clan: 13-(32,16,417), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:09:58 CEST 2009