t designs with small t, id ge 4600

# 4600: 5-(26,12,13320)

clan: 13-(32,16,111), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,8880) (# 4598) : der= 5-(25,11,4440) and res= 5-(25,12,8880) - the given design is the residual.

# 4601: 5-(27,13,36630)

clan: 13-(32,16,111), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,23310) (# 4599) : der= 5-(26,12,13320) and res= 5-(26,13,23310) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,13320) (# 4600) : der= 5-(26,12,13320) and res= 5-(26,13,23310) - the given design is the derived.

# 4602: 5-(28,14,93610)

clan: 13-(32,16,111), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,36630) (# 4601)

# 4603: 5-(24,12,5790)

clan: 5-(24,12,5790)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4604: 5-(24,12,5808)

clan: 5-(24,12,5808)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4605: 5-(24,12,5838)

clan: 5-(24,12,5838)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4606: 5-(24,12,5856)

clan: 5-(24,12,5856)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4607: 5-(24,12,5874)

clan: 5-(24,12,5874)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4608: 5-(24,12,5904)

clan: 5-(24,12,5904)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4609: 5-(24,12,5922)

clan: 5-(24,12,5922)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4610: 5-(24,12,594)

clan: 5-(24,12,594)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4611: 5-(24,12,5940)

clan: 5-(24,12,5940)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4612: 5-(24,12,5970)

clan: 5-(24,12,5970)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4613: 5-(24,12,5988)

clan: 5-(24,12,5988)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4614: 5-(24,12,6006)

clan: 11-(30,15,462), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4615: 5-(25,12,9240)

clan: 11-(30,15,462), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,6006) (# 4614) : der= 5-(24,11,3234) and res= 5-(24,12,6006) - the given design is the residual.

# 4616: 5-(26,13,24255)

clan: 11-(30,15,462), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,9240) (# 4615)

# 4617: 5-(26,12,13860)

clan: 11-(30,15,462), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,9240) (# 4615) : der= 5-(25,11,4620) and res= 5-(25,12,9240) - the given design is the residual.

# 4618: 5-(27,13,38115)

clan: 11-(30,15,462), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,24255) (# 4616) : der= 5-(26,12,13860) and res= 5-(26,13,24255) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,13860) (# 4617) : der= 5-(26,12,13860) and res= 5-(26,13,24255) - the given design is the derived.

# 4619: 5-(28,14,97405)

clan: 11-(30,15,462), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,38115) (# 4618)

# 4620: 5-(24,12,6036)

clan: 5-(24,12,6036)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4621: 5-(24,12,6054)

clan: 5-(24,12,6054)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4622: 5-(24,12,6072)

clan: 5-(24,12,6072)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4623: 5-(24,12,6102)

clan: 5-(24,12,6102)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4624: 5-(24,12,6120)

clan: 5-(24,12,6120)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4625: 5-(24,12,6138)

clan: 5-(24,12,6138)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4626: 5-(24,12,6168)

clan: 5-(24,12,6168)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4627: 5-(24,12,6186)

clan: 5-(24,12,6186)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4628: 5-(24,12,6204)

clan: 5-(24,12,6204)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4629: 5-(24,12,6234)

clan: 5-(24,12,6234)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4630: 5-(24,12,624)

clan: 13-(32,16,12), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4631: 5-(25,12,960)

clan: 13-(32,16,12), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,624) (# 4630) : der= 5-(24,11,336) and res= 5-(24,12,624) - the given design is the residual.

# 4632: 5-(26,13,2520)

clan: 13-(32,16,12), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,960) (# 4631)

# 4633: 5-(26,12,1440)

clan: 13-(32,16,12), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,960) (# 4631) : der= 5-(25,11,480) and res= 5-(25,12,960) - the given design is the residual.

# 4634: 5-(27,13,3960)

clan: 13-(32,16,12), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,2520) (# 4632) : der= 5-(26,12,1440) and res= 5-(26,13,2520) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,1440) (# 4633) : der= 5-(26,12,1440) and res= 5-(26,13,2520) - the given design is the derived.

# 4635: 5-(28,14,10120)

clan: 13-(32,16,12), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,3960) (# 4634)

# 4636: 5-(24,12,6252)

clan: 5-(24,12,6252)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4637: 5-(24,12,6300)

clan: 5-(24,12,6300)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4638: 5-(24,12,6318)

clan: 11-(30,15,486), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4639: 5-(24,12,6336)

clan: 5-(24,12,6336)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4640: 5-(24,12,6366)

clan: 5-(24,12,6366)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4641: 5-(24,12,6384)

clan: 7-(24,12,784), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4642: 5-(24,12,6402)

clan: 5-(24,12,6402)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4643: 5-(24,12,642)

clan: 5-(24,12,642)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4644: 5-(24,12,6432)

clan: 5-(24,12,6432)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4645: 5-(24,12,6450)

clan: 5-(24,12,6450)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4646: 5-(24,12,6468)

clan: 5-(24,12,6468)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4647: 5-(24,12,6516)

clan: 5-(24,12,6516)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4648: 5-(24,12,6534)

clan: 5-(24,12,6534)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4649: 5-(24,12,6564)

clan: 5-(24,12,6564)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4650: 5-(24,12,6582)

clan: 5-(24,12,6582)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4651: 5-(24,12,660)

clan: 5-(24,12,660)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4652: 5-(24,12,6600)

clan: 5-(24,12,6600)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4653: 5-(24,12,6630)

clan: 11-(30,15,510), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4654: 5-(25,12,10200)

clan: 11-(30,15,510), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,6630) (# 4653) : der= 5-(24,11,3570) and res= 5-(24,12,6630) - the given design is the residual.

# 4655: 5-(26,13,26775)

clan: 11-(30,15,510), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,10200) (# 4654)

# 4656: 5-(26,12,15300)

clan: 11-(30,15,510), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,10200) (# 4654) : der= 5-(25,11,5100) and res= 5-(25,12,10200) - the given design is the residual.

# 4657: 5-(27,13,42075)

clan: 11-(30,15,510), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,26775) (# 4655) : der= 5-(26,12,15300) and res= 5-(26,13,26775) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,15300) (# 4656) : der= 5-(26,12,15300) and res= 5-(26,13,26775) - the given design is the derived.

# 4658: 5-(28,14,107525)

clan: 11-(30,15,510), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,42075) (# 4657)

# 4659: 5-(24,12,6648)

clan: 5-(24,12,6648)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4660: 5-(24,12,6666)

clan: 5-(24,12,6666)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4661: 5-(24,12,6696)

clan: 5-(24,12,6696)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4662: 5-(24,12,6714)

clan: 5-(24,12,6714)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4663: 5-(24,12,6732)

clan: 5-(24,12,6732)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4664: 5-(24,12,6762)

clan: 5-(24,12,6762)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4665: 5-(24,12,6780)

clan: 5-(24,12,6780)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4666: 5-(24,12,6798)

clan: 5-(24,12,6798)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4667: 5-(24,12,6828)

clan: 5-(24,12,6828)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4668: 5-(24,12,6846)

clan: 5-(24,12,6846)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4669: 5-(24,12,6864)

clan: 13-(32,16,132), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4670: 5-(25,12,10560)

clan: 13-(32,16,132), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,6864) (# 4669) : der= 5-(24,11,3696) and res= 5-(24,12,6864) - the given design is the residual.

# 4671: 5-(26,13,27720)

clan: 13-(32,16,132), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,10560) (# 4670)

# 4672: 5-(26,12,15840)

clan: 13-(32,16,132), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,10560) (# 4670) : der= 5-(25,11,5280) and res= 5-(25,12,10560) - the given design is the residual.

# 4673: 5-(27,13,43560)

clan: 13-(32,16,132), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,27720) (# 4671) : der= 5-(26,12,15840) and res= 5-(26,13,27720) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,15840) (# 4672) : der= 5-(26,12,15840) and res= 5-(26,13,27720) - the given design is the derived.

# 4674: 5-(28,14,111320)