t designs with small t, id ge 2300

# 2300: 5-(24,12,13410)

clan: 5-(24,12,13410)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2301: 5-(24,12,13416)

clan: 13-(32,16,258), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2302: 5-(24,12,13422)

clan: 5-(24,12,13422)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2303: 5-(24,12,13428)

clan: 5-(24,12,13428)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2304: 5-(24,12,13434)

clan: 5-(24,12,13434)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2305: 5-(24,12,13440)

clan: 5-(24,12,13440)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2306: 5-(24,12,13446)

clan: 5-(24,12,13446)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2307: 5-(24,12,13452)

clan: 7-(24,12,1652), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,4956) (# 9122)
design 6-(24,12,4956) (# 9124) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,8496) (# 9129) : der= 5-(23,11,4956) and res= 5-(23,12,8496) - the given design is the residual.
supplementary design of 6-(24,12,13608) (# 9133) with respect to smaller t

# 2308: 5-(24,12,13458)

clan: 5-(24,12,13458)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2309: 5-(24,12,13464)

clan: 5-(24,12,13464)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2310: 5-(24,12,13470)

clan: 5-(24,12,13470)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2311: 5-(24,12,13476)

clan: 5-(24,12,13476)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2312: 5-(24,12,13482)

clan: 5-(24,12,13482)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2313: 5-(24,12,13488)

clan: 5-(24,12,13488)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2314: 5-(24,12,13494)

clan: 11-(30,15,1038), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2315: 5-(25,12,20760)

clan: 11-(30,15,1038), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,13494) (# 2314) : der= 5-(24,11,7266) and res= 5-(24,12,13494) - the given design is the residual.

# 2316: 5-(26,13,54495)

clan: 11-(30,15,1038), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,20760) (# 2315)

# 2317: 5-(26,12,31140)

clan: 11-(30,15,1038), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,20760) (# 2315) : der= 5-(25,11,10380) and res= 5-(25,12,20760) - the given design is the residual.

# 2318: 5-(27,13,85635)

clan: 11-(30,15,1038), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,54495) (# 2316) : der= 5-(26,12,31140) and res= 5-(26,13,54495) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,31140) (# 2317) : der= 5-(26,12,31140) and res= 5-(26,13,54495) - the given design is the derived.

# 2319: 5-(28,14,218845)

clan: 11-(30,15,1038), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,85635) (# 2318)

# 2320: 5-(24,12,1350)

clan: 5-(24,12,1350)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2321: 5-(24,12,13500)

clan: 5-(24,12,13500)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2322: 5-(24,12,13506)

clan: 5-(24,12,13506)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2323: 5-(24,12,13512)

clan: 5-(24,12,13512)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2324: 5-(24,12,13518)

clan: 5-(24,12,13518)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2325: 5-(24,12,13524)

clan: 5-(24,12,13524)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2326: 5-(24,12,13530)

clan: 5-(24,12,13530)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2327: 5-(24,12,13536)

clan: 5-(24,12,13536)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2328: 5-(24,12,13542)

clan: 5-(24,12,13542)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2329: 5-(24,12,13548)

clan: 5-(24,12,13548)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2330: 5-(24,12,13554)

clan: 5-(24,12,13554)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2331: 5-(24,12,13560)

clan: 5-(24,12,13560)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2332: 5-(24,12,13566)

clan: 8-(24,12,490), 3 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2333: 5-(24,12,13572)

clan: 13-(32,16,261), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2334: 5-(24,12,13578)

clan: 5-(24,12,13578)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2335: 5-(24,12,13584)

clan: 5-(24,12,13584)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2336: 5-(24,12,13590)

clan: 5-(24,12,13590)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2337: 5-(24,12,13596)

clan: 5-(24,12,13596)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2338: 5-(24,12,13602)

clan: 5-(24,12,13602)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2339: 5-(24,12,13608)

clan: 5-(24,12,13608)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2340: 5-(24,12,13614)

clan: 5-(24,12,13614)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2341: 5-(24,12,13620)

clan: 5-(24,12,13620)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2342: 5-(24,12,13626)

clan: 5-(24,12,13626)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2343: 5-(24,12,13632)

clan: 5-(24,12,13632)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2344: 5-(24,12,13638)

clan: 5-(24,12,13638)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2345: 5-(24,12,13644)

clan: 5-(24,12,13644)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2346: 5-(24,12,13650)

clan: 11-(30,15,1050), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2347: 5-(24,12,13656)

clan: 5-(24,12,13656)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2348: 5-(24,12,13662)

clan: 5-(24,12,13662)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2349: 5-(24,12,13668)

clan: 5-(24,12,13668)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2350: 5-(24,12,13674)

clan: 5-(24,12,13674)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2351: 5-(24,12,1368)

clan: 7-(24,12,168), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2352: 5-(24,12,13680)

clan: 7-(24,12,1680), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2353: 5-(24,12,13686)

clan: 5-(24,12,13686)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2354: 5-(24,12,13692)

clan: 5-(24,12,13692)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2355: 5-(24,12,13698)

clan: 5-(24,12,13698)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2356: 5-(24,12,13704)

clan: 5-(24,12,13704)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2357: 5-(24,12,13710)

clan: 5-(24,12,13710)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2358: 5-(24,12,13716)

clan: 5-(24,12,13716)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2359: 5-(24,12,13722)

clan: 5-(24,12,13722)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2360: 5-(24,12,13728)

clan: 13-(32,16,264), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2361: 5-(25,12,21120)

clan: 13-(32,16,264), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,13728) (# 2360) : der= 5-(24,11,7392) and res= 5-(24,12,13728) - the given design is the residual.

# 2362: 5-(26,13,55440)

clan: 13-(32,16,264), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,21120) (# 2361)

# 2363: 5-(26,12,31680)

clan: 13-(32,16,264), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,21120) (# 2361) : der= 5-(25,11,10560) and res= 5-(25,12,21120) - the given design is the residual.

# 2364: 5-(27,13,87120)

clan: 13-(32,16,264), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,55440) (# 2362) : der= 5-(26,12,31680) and res= 5-(26,13,55440) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,31680) (# 2363) : der= 5-(26,12,31680) and res= 5-(26,13,55440) - the given design is the derived.

# 2365: 5-(28,14,222640)