t designs with small t, id ge 17200

# 17200: 5-(34,9,15015)

clan: 23-(52,26,2310), 17 times derived, 1 times residual
derived from supplementary of 6-(35,10,8736) (# 17187)
derived from 6-(35,10,15015) (# 17190)

# 17201: 5-(34,10,75075)

clan: 23-(52,26,2310), 16 times derived, 2 times residual
residual design of supplementary of 6-(35,10,8736) (# 17187)
derived from supplementary of 6-(35,11,43680) (# 17188)
residual design of 6-(35,10,15015) (# 17190)
derived from 6-(35,11,75075) (# 17191)

# 17202: 5-(34,11,174720)

clan: 23-(52,26,1344), 15 times derived, 3 times residual
residual design of 6-(35,11,43680) (# 17188)
residual design of supplementary of 6-(35,11,75075) (# 17191)

# 17203: 5-(34,11,300300)

clan: 23-(52,26,2310), 15 times derived, 3 times residual
residual design of supplementary of 6-(35,11,43680) (# 17188)
residual design of 6-(35,11,75075) (# 17191)

# 17204: 7-(36,11,9135)

clan: 11-(37,12,10), 3 times reduced t, 1 times derived
$Sp(6,2)_36$ (many isomorphism types)
design 8-(36,11,1260) (# 18081) with respect to smaller t
Tran van Trung construction (left) for 7-(35,11,7875) (# 18082) : der= 7-(35,10,1260) and res= 7-(35,11,7875) - the given design is the residual.

# 17205: 6-(36,11,54810)

clan: 11-(37,12,10), 4 times reduced t, 1 times derived
design 7-(36,11,9135) (# 17204) with respect to smaller t
Tran van Trung construction (left) for 6-(35,11,45675) (# 17206) : der= 6-(35,10,9135) and res= 6-(35,11,45675) - the given design is the residual.
supplementary design of 7-(36,11,14616) (# 18083) with respect to smaller t

# 17206: 6-(35,11,45675)

clan: 11-(37,12,10), 3 times reduced t, 1 times derived, 1 times residual
residual design of 7-(36,11,9135) (# 17204)
design 7-(35,11,7875) (# 18082) with respect to smaller t
residual design of supplementary of 7-(36,11,14616) (# 18083)
supplementary design of 7-(35,11,12600) (# 18085) with respect to smaller t
Tran van Trung construction (left) for 6-(34,11,37800) (# 18086) : der= 6-(34,10,7875) and res= 6-(34,11,37800) - the given design is the residual.

# 17207: 6-(36,11,87696)

clan: 11-(37,12,16), 4 times reduced t, 1 times derived
supplementary design of 7-(36,11,9135) (# 17204) with respect to smaller t
Tran van Trung construction (left) for 6-(35,11,73080) (# 17208) : der= 6-(35,10,14616) and res= 6-(35,11,73080) - the given design is the residual.
design 7-(36,11,14616) (# 18083) with respect to smaller t

# 17208: 6-(35,11,73080)

clan: 11-(37,12,16), 3 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,9135) (# 17204)
supplementary design of 7-(35,11,7875) (# 18082) with respect to smaller t
residual design of 7-(36,11,14616) (# 18083)
design 7-(35,11,12600) (# 18085) with respect to smaller t
Tran van Trung construction (left) for 6-(34,11,60480) (# 18087) : der= 6-(34,10,12600) and res= 6-(34,11,60480) - the given design is the residual.

# 17209: 5-(36,11,283185)

clan: 11-(37,12,10), 5 times reduced t, 1 times derived
design 6-(36,11,54810) (# 17205) with respect to smaller t
supplementary design of 6-(36,11,87696) (# 17207) with respect to smaller t
Tran van Trung construction (left) for 5-(35,11,228375) (# 17210) : der= 5-(35,10,54810) and res= 5-(35,11,228375) - the given design is the residual.

# 17210: 5-(35,11,228375)

clan: 11-(37,12,10), 4 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,54810) (# 17205)
design 6-(35,11,45675) (# 17206) with respect to smaller t
residual design of supplementary of 6-(36,11,87696) (# 17207)
supplementary design of 6-(35,11,73080) (# 17208) with respect to smaller t
Tran van Trung construction (left) for 5-(34,11,182700) (# 17213) : der= 5-(34,10,45675) and res= 5-(34,11,182700) - the given design is the residual.

# 17211: 5-(36,11,453096)

clan: 11-(37,12,16), 5 times reduced t, 1 times derived
supplementary design of 6-(36,11,54810) (# 17205) with respect to smaller t
design 6-(36,11,87696) (# 17207) with respect to smaller t
Tran van Trung construction (left) for 5-(35,11,365400) (# 17212) : der= 5-(35,10,87696) and res= 5-(35,11,365400) - the given design is the residual.

# 17212: 5-(35,11,365400)

clan: 11-(37,12,16), 4 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,54810) (# 17205)
supplementary design of 6-(35,11,45675) (# 17206) with respect to smaller t
residual design of 6-(36,11,87696) (# 17207)
design 6-(35,11,73080) (# 17208) with respect to smaller t
Tran van Trung construction (left) for 5-(34,11,292320) (# 17214) : der= 5-(34,10,73080) and res= 5-(34,11,292320) - the given design is the residual.

# 17213: 5-(34,11,182700)

clan: 11-(37,12,10), 3 times reduced t, 1 times derived, 2 times residual
residual design of 6-(35,11,45675) (# 17206)
residual design of supplementary of 6-(35,11,73080) (# 17208)
design 6-(34,11,37800) (# 18086) with respect to smaller t
supplementary design of 6-(34,11,60480) (# 18087) with respect to smaller t
Tran van Trung construction (left) for 5-(33,11,144900) (# 18088) : der= 5-(33,10,37800) and res= 5-(33,11,144900) - the given design is the residual.

# 17214: 5-(34,11,292320)

clan: 11-(37,12,16), 3 times reduced t, 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,45675) (# 17206)
residual design of 6-(35,11,73080) (# 17208)
supplementary design of 6-(34,11,37800) (# 18086) with respect to smaller t
design 6-(34,11,60480) (# 18087) with respect to smaller t
Tran van Trung construction (left) for 5-(33,11,231840) (# 18089) : der= 5-(33,10,60480) and res= 5-(33,11,231840) - the given design is the residual.

# 17215: 7-(36,11,9240)

clan: 8-(37,12,9240), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17216: 6-(36,11,55440)

clan: 8-(37,12,9240), 1 times reduced t, 1 times derived
design 7-(36,11,9240) (# 17215) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,9240) (# 17217) : der= 6-(35,10,9240) and res= 6-(35,11,46200) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,46200) (# 17218) : der= 6-(35,10,9240) and res= 6-(35,11,46200) - the given design is the residual.

# 17217: 6-(35,10,9240)

clan: 8-(37,12,9240), 2 times derived
derived from 7-(36,11,9240) (# 17215)

# 17218: 6-(35,11,46200)

clan: 8-(37,12,9240), 1 times derived, 1 times residual
residual design of 7-(36,11,9240) (# 17215)

# 17219: 6-(36,11,87066)

clan: 8-(37,12,14511), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,9240) (# 17215) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,14511) (# 17220) : der= 6-(35,10,14511) and res= 6-(35,11,72555) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,72555) (# 17221) : der= 6-(35,10,14511) and res= 6-(35,11,72555) - the given design is the residual.

# 17220: 6-(35,10,14511)

clan: 8-(37,12,14511), 2 times derived
derived from supplementary of 7-(36,11,9240) (# 17215)

# 17221: 6-(35,11,72555)

clan: 8-(37,12,14511), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,9240) (# 17215)

# 17222: 5-(36,11,286440)

clan: 8-(37,12,9240), 2 times reduced t, 1 times derived
design 6-(36,11,55440) (# 17216) with respect to smaller t
supplementary design of 6-(36,11,87066) (# 17219) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,55440) (# 17223) : der= 5-(35,10,55440) and res= 5-(35,11,231000) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,231000) (# 17224) : der= 5-(35,10,55440) and res= 5-(35,11,231000) - the given design is the residual.

# 17223: 5-(35,10,55440)

clan: 8-(37,12,9240), 1 times reduced t, 2 times derived
derived from 6-(36,11,55440) (# 17216)
design 6-(35,10,9240) (# 17217) with respect to smaller t
derived from supplementary of 6-(36,11,87066) (# 17219)
supplementary design of 6-(35,10,14511) (# 17220) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,9240) (# 17228) : der= 5-(34,9,9240) and res= 5-(34,10,46200) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,46200) (# 17229) : der= 5-(34,9,9240) and res= 5-(34,10,46200) - the given design is the residual.

# 17224: 5-(35,11,231000)

clan: 8-(37,12,9240), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,55440) (# 17216)
design 6-(35,11,46200) (# 17218) with respect to smaller t
residual design of supplementary of 6-(36,11,87066) (# 17219)
supplementary design of 6-(35,11,72555) (# 17221) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,46200) (# 17229) : der= 5-(34,10,46200) and res= 5-(34,11,184800) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,184800) (# 17232) : der= 5-(34,10,46200) and res= 5-(34,11,184800) - the given design is the residual.

# 17225: 5-(36,11,449841)

clan: 8-(37,12,14511), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,55440) (# 17216) with respect to smaller t
design 6-(36,11,87066) (# 17219) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,87066) (# 17226) : der= 5-(35,10,87066) and res= 5-(35,11,362775) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,362775) (# 17227) : der= 5-(35,10,87066) and res= 5-(35,11,362775) - the given design is the residual.

# 17226: 5-(35,10,87066)

clan: 8-(37,12,14511), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,55440) (# 17216)
supplementary design of 6-(35,10,9240) (# 17217) with respect to smaller t
derived from 6-(36,11,87066) (# 17219)
design 6-(35,10,14511) (# 17220) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,14511) (# 17230) : der= 5-(34,9,14511) and res= 5-(34,10,72555) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,72555) (# 17231) : der= 5-(34,9,14511) and res= 5-(34,10,72555) - the given design is the residual.

# 17227: 5-(35,11,362775)

clan: 8-(37,12,14511), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,55440) (# 17216)
supplementary design of 6-(35,11,46200) (# 17218) with respect to smaller t
residual design of 6-(36,11,87066) (# 17219)
design 6-(35,11,72555) (# 17221) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,72555) (# 17231) : der= 5-(34,10,72555) and res= 5-(34,11,290220) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,290220) (# 17233) : der= 5-(34,10,72555) and res= 5-(34,11,290220) - the given design is the residual.

# 17228: 5-(34,9,9240)

clan: 8-(37,12,9240), 3 times derived
derived from 6-(35,10,9240) (# 17217)
derived from supplementary of 6-(35,10,14511) (# 17220)

# 17229: 5-(34,10,46200)

clan: 8-(37,12,9240), 2 times derived, 1 times residual
residual design of 6-(35,10,9240) (# 17217)
derived from 6-(35,11,46200) (# 17218)
residual design of supplementary of 6-(35,10,14511) (# 17220)
derived from supplementary of 6-(35,11,72555) (# 17221)

# 17230: 5-(34,9,14511)

clan: 8-(37,12,14511), 3 times derived
derived from supplementary of 6-(35,10,9240) (# 17217)
derived from 6-(35,10,14511) (# 17220)

# 17231: 5-(34,10,72555)

clan: 8-(37,12,14511), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,9240) (# 17217)
derived from supplementary of 6-(35,11,46200) (# 17218)
residual design of 6-(35,10,14511) (# 17220)
derived from 6-(35,11,72555) (# 17221)

# 17232: 5-(34,11,184800)

clan: 8-(37,12,9240), 1 times derived, 2 times residual
residual design of 6-(35,11,46200) (# 17218)
residual design of supplementary of 6-(35,11,72555) (# 17221)

# 17233: 5-(34,11,290220)

clan: 8-(37,12,14511), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,46200) (# 17218)
residual design of 6-(35,11,72555) (# 17221)

# 17234: 7-(36,11,9471)

clan: 8-(37,12,9471), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17235: 6-(36,11,56826)

clan: 8-(37,12,9471), 1 times reduced t, 1 times derived
design 7-(36,11,9471) (# 17234) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,9471) (# 17236) : der= 6-(35,10,9471) and res= 6-(35,11,47355) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,47355) (# 17237) : der= 6-(35,10,9471) and res= 6-(35,11,47355) - the given design is the residual.

# 17236: 6-(35,10,9471)

clan: 8-(37,12,9471), 2 times derived
derived from 7-(36,11,9471) (# 17234)

# 17237: 6-(35,11,47355)

clan: 8-(37,12,9471), 1 times derived, 1 times residual
residual design of 7-(36,11,9471) (# 17234)

# 17238: 6-(36,11,85680)

clan: 8-(37,12,14280), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,9471) (# 17234) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,14280) (# 17239) : der= 6-(35,10,14280) and res= 6-(35,11,71400) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,71400) (# 17240) : der= 6-(35,10,14280) and res= 6-(35,11,71400) - the given design is the residual.

# 17239: 6-(35,10,14280)

clan: 8-(37,12,14280), 2 times derived
derived from supplementary of 7-(36,11,9471) (# 17234)

# 17240: 6-(35,11,71400)

clan: 8-(37,12,14280), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,9471) (# 17234)

# 17241: 5-(36,11,293601)

clan: 8-(37,12,9471), 2 times reduced t, 1 times derived
design 6-(36,11,56826) (# 17235) with respect to smaller t
supplementary design of 6-(36,11,85680) (# 17238) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,56826) (# 17242) : der= 5-(35,10,56826) and res= 5-(35,11,236775) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,236775) (# 17243) : der= 5-(35,10,56826) and res= 5-(35,11,236775) - the given design is the residual.

# 17242: 5-(35,10,56826)

clan: 8-(37,12,9471), 1 times reduced t, 2 times derived
derived from 6-(36,11,56826) (# 17235)
design 6-(35,10,9471) (# 17236) with respect to smaller t
derived from supplementary of 6-(36,11,85680) (# 17238)
supplementary design of 6-(35,10,14280) (# 17239) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,9471) (# 17247) : der= 5-(34,9,9471) and res= 5-(34,10,47355) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,47355) (# 17248) : der= 5-(34,9,9471) and res= 5-(34,10,47355) - the given design is the residual.

# 17243: 5-(35,11,236775)

clan: 8-(37,12,9471), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,56826) (# 17235)
design 6-(35,11,47355) (# 17237) with respect to smaller t
residual design of supplementary of 6-(36,11,85680) (# 17238)
supplementary design of 6-(35,11,71400) (# 17240) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,47355) (# 17248) : der= 5-(34,10,47355) and res= 5-(34,11,189420) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,189420) (# 17251) : der= 5-(34,10,47355) and res= 5-(34,11,189420) - the given design is the residual.

# 17244: 5-(36,11,442680)

clan: 8-(37,12,14280), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,56826) (# 17235) with respect to smaller t
design 6-(36,11,85680) (# 17238) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,85680) (# 17245) : der= 5-(35,10,85680) and res= 5-(35,11,357000) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,357000) (# 17246) : der= 5-(35,10,85680) and res= 5-(35,11,357000) - the given design is the residual.

# 17245: 5-(35,10,85680)

clan: 8-(37,12,14280), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,56826) (# 17235)
supplementary design of 6-(35,10,9471) (# 17236) with respect to smaller t
derived from 6-(36,11,85680) (# 17238)
design 6-(35,10,14280) (# 17239) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,14280) (# 17249) : der= 5-(34,9,14280) and res= 5-(34,10,71400) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,71400) (# 17250) : der= 5-(34,9,14280) and res= 5-(34,10,71400) - the given design is the residual.

# 17246: 5-(35,11,357000)

clan: 8-(37,12,14280), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,56826) (# 17235)
supplementary design of 6-(35,11,47355) (# 17237) with respect to smaller t
residual design of 6-(36,11,85680) (# 17238)
design 6-(35,11,71400) (# 17240) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,71400) (# 17250) : der= 5-(34,10,71400) and res= 5-(34,11,285600) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,285600) (# 17252) : der= 5-(34,10,71400) and res= 5-(34,11,285600) - the given design is the residual.

# 17247: 5-(34,9,9471)

clan: 8-(37,12,9471), 3 times derived
derived from 6-(35,10,9471) (# 17236)
derived from supplementary of 6-(35,10,14280) (# 17239)

# 17248: 5-(34,10,47355)

clan: 8-(37,12,9471), 2 times derived, 1 times residual
residual design of 6-(35,10,9471) (# 17236)
derived from 6-(35,11,47355) (# 17237)
residual design of supplementary of 6-(35,10,14280) (# 17239)
derived from supplementary of 6-(35,11,71400) (# 17240)

# 17249: 5-(34,9,14280)

clan: 8-(37,12,14280), 3 times derived
derived from supplementary of 6-(35,10,9471) (# 17236)
derived from 6-(35,10,14280) (# 17239)

# 17250: 5-(34,10,71400)

clan: 8-(37,12,14280), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,9471) (# 17236)
derived from supplementary of 6-(35,11,47355) (# 17237)
residual design of 6-(35,10,14280) (# 17239)
derived from 6-(35,11,71400) (# 17240)

# 17251: 5-(34,11,189420)

clan: 8-(37,12,9471), 1 times derived, 2 times residual
residual design of 6-(35,11,47355) (# 17237)
residual design of supplementary of 6-(35,11,71400) (# 17240)

# 17252: 5-(34,11,285600)

clan: 8-(37,12,14280), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,47355) (# 17237)
residual design of 6-(35,11,71400) (# 17240)

# 17253: 7-(36,11,9576)

clan: 8-(37,12,9576), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17254: 6-(36,11,57456)

clan: 8-(37,12,9576), 1 times reduced t, 1 times derived
design 7-(36,11,9576) (# 17253) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,9576) (# 17255) : der= 6-(35,10,9576) and res= 6-(35,11,47880) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,47880) (# 17256) : der= 6-(35,10,9576) and res= 6-(35,11,47880) - the given design is the residual.

# 17255: 6-(35,10,9576)

clan: 8-(37,12,9576), 2 times derived
derived from 7-(36,11,9576) (# 17253)

# 17256: 6-(35,11,47880)

clan: 8-(37,12,9576), 1 times derived, 1 times residual
residual design of 7-(36,11,9576) (# 17253)

# 17257: 6-(36,11,85050)

clan: 8-(37,12,14175), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,9576) (# 17253) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,14175) (# 17258) : der= 6-(35,10,14175) and res= 6-(35,11,70875) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,70875) (# 17259) : der= 6-(35,10,14175) and res= 6-(35,11,70875) - the given design is the residual.

# 17258: 6-(35,10,14175)

clan: 8-(37,12,14175), 2 times derived
derived from supplementary of 7-(36,11,9576) (# 17253)

# 17259: 6-(35,11,70875)

clan: 8-(37,12,14175), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,9576) (# 17253)

# 17260: 5-(36,11,296856)

clan: 8-(37,12,9576), 2 times reduced t, 1 times derived
design 6-(36,11,57456) (# 17254) with respect to smaller t
supplementary design of 6-(36,11,85050) (# 17257) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,57456) (# 17261) : der= 5-(35,10,57456) and res= 5-(35,11,239400) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,239400) (# 17262) : der= 5-(35,10,57456) and res= 5-(35,11,239400) - the given design is the residual.

# 17261: 5-(35,10,57456)

clan: 8-(37,12,9576), 1 times reduced t, 2 times derived
derived from 6-(36,11,57456) (# 17254)
design 6-(35,10,9576) (# 17255) with respect to smaller t
derived from supplementary of 6-(36,11,85050) (# 17257)
supplementary design of 6-(35,10,14175) (# 17258) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,9576) (# 17266) : der= 5-(34,9,9576) and res= 5-(34,10,47880) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,47880) (# 17267) : der= 5-(34,9,9576) and res= 5-(34,10,47880) - the given design is the residual.

# 17262: 5-(35,11,239400)

clan: 8-(37,12,9576), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,57456) (# 17254)
design 6-(35,11,47880) (# 17256) with respect to smaller t
residual design of supplementary of 6-(36,11,85050) (# 17257)
supplementary design of 6-(35,11,70875) (# 17259) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,47880) (# 17267) : der= 5-(34,10,47880) and res= 5-(34,11,191520) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,191520) (# 17270) : der= 5-(34,10,47880) and res= 5-(34,11,191520) - the given design is the residual.

# 17263: 5-(36,11,439425)

clan: 8-(37,12,14175), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,57456) (# 17254) with respect to smaller t
design 6-(36,11,85050) (# 17257) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,85050) (# 17264) : der= 5-(35,10,85050) and res= 5-(35,11,354375) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,354375) (# 17265) : der= 5-(35,10,85050) and res= 5-(35,11,354375) - the given design is the residual.

# 17264: 5-(35,10,85050)

clan: 8-(37,12,14175), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,57456) (# 17254)
supplementary design of 6-(35,10,9576) (# 17255) with respect to smaller t
derived from 6-(36,11,85050) (# 17257)
design 6-(35,10,14175) (# 17258) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,14175) (# 17268) : der= 5-(34,9,14175) and res= 5-(34,10,70875) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,70875) (# 17269) : der= 5-(34,9,14175) and res= 5-(34,10,70875) - the given design is the residual.

# 17265: 5-(35,11,354375)

clan: 8-(37,12,14175), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,57456) (# 17254)
supplementary design of 6-(35,11,47880) (# 17256) with respect to smaller t
residual design of 6-(36,11,85050) (# 17257)
design 6-(35,11,70875) (# 17259) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,70875) (# 17269) : der= 5-(34,10,70875) and res= 5-(34,11,283500) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,283500) (# 17271) : der= 5-(34,10,70875) and res= 5-(34,11,283500) - the given design is the residual.

# 17266: 5-(34,9,9576)

clan: 8-(37,12,9576), 3 times derived
derived from 6-(35,10,9576) (# 17255)
derived from supplementary of 6-(35,10,14175) (# 17258)

# 17267: 5-(34,10,47880)

clan: 8-(37,12,9576), 2 times derived, 1 times residual
residual design of 6-(35,10,9576) (# 17255)
derived from 6-(35,11,47880) (# 17256)
residual design of supplementary of 6-(35,10,14175) (# 17258)
derived from supplementary of 6-(35,11,70875) (# 17259)

# 17268: 5-(34,9,14175)

clan: 8-(37,12,14175), 3 times derived
derived from supplementary of 6-(35,10,9576) (# 17255)
derived from 6-(35,10,14175) (# 17258)

# 17269: 5-(34,10,70875)

clan: 8-(37,12,14175), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,9576) (# 17255)
derived from supplementary of 6-(35,11,47880) (# 17256)
residual design of 6-(35,10,14175) (# 17258)
derived from 6-(35,11,70875) (# 17259)

# 17270: 5-(34,11,191520)

clan: 8-(37,12,9576), 1 times derived, 2 times residual
residual design of 6-(35,11,47880) (# 17256)
residual design of supplementary of 6-(35,11,70875) (# 17259)

# 17271: 5-(34,11,283500)

clan: 8-(37,12,14175), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,47880) (# 17256)
residual design of 6-(35,11,70875) (# 17259)

# 17272: 7-(36,11,9975)

clan: 8-(37,12,9975), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17273: 6-(36,11,59850)

clan: 8-(37,12,9975), 1 times reduced t, 1 times derived
design 7-(36,11,9975) (# 17272) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,9975) (# 17274) : der= 6-(35,10,9975) and res= 6-(35,11,49875) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,49875) (# 17275) : der= 6-(35,10,9975) and res= 6-(35,11,49875) - the given design is the residual.

# 17274: 6-(35,10,9975)

clan: 8-(37,12,9975), 2 times derived
derived from 7-(36,11,9975) (# 17272)

# 17275: 6-(35,11,49875)

clan: 8-(37,12,9975), 1 times derived, 1 times residual
residual design of 7-(36,11,9975) (# 17272)

# 17276: 6-(36,11,82656)

clan: 8-(37,12,13776), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,9975) (# 17272) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,13776) (# 17277) : der= 6-(35,10,13776) and res= 6-(35,11,68880) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,68880) (# 17278) : der= 6-(35,10,13776) and res= 6-(35,11,68880) - the given design is the residual.

# 17277: 6-(35,10,13776)

clan: 8-(37,12,13776), 2 times derived
derived from supplementary of 7-(36,11,9975) (# 17272)

# 17278: 6-(35,11,68880)

clan: 8-(37,12,13776), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,9975) (# 17272)

# 17279: 5-(36,11,309225)

clan: 8-(37,12,9975), 2 times reduced t, 1 times derived
design 6-(36,11,59850) (# 17273) with respect to smaller t
supplementary design of 6-(36,11,82656) (# 17276) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,59850) (# 17280) : der= 5-(35,10,59850) and res= 5-(35,11,249375) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,249375) (# 17281) : der= 5-(35,10,59850) and res= 5-(35,11,249375) - the given design is the residual.

# 17280: 5-(35,10,59850)

clan: 8-(37,12,9975), 1 times reduced t, 2 times derived
derived from 6-(36,11,59850) (# 17273)
design 6-(35,10,9975) (# 17274) with respect to smaller t
derived from supplementary of 6-(36,11,82656) (# 17276)
supplementary design of 6-(35,10,13776) (# 17277) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,9975) (# 17285) : der= 5-(34,9,9975) and res= 5-(34,10,49875) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,49875) (# 17286) : der= 5-(34,9,9975) and res= 5-(34,10,49875) - the given design is the residual.

# 17281: 5-(35,11,249375)

clan: 8-(37,12,9975), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,59850) (# 17273)
design 6-(35,11,49875) (# 17275) with respect to smaller t
residual design of supplementary of 6-(36,11,82656) (# 17276)
supplementary design of 6-(35,11,68880) (# 17278) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,49875) (# 17286) : der= 5-(34,10,49875) and res= 5-(34,11,199500) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,199500) (# 17289) : der= 5-(34,10,49875) and res= 5-(34,11,199500) - the given design is the residual.

# 17282: 5-(36,11,427056)

clan: 8-(37,12,13776), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,59850) (# 17273) with respect to smaller t
design 6-(36,11,82656) (# 17276) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,82656) (# 17283) : der= 5-(35,10,82656) and res= 5-(35,11,344400) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,344400) (# 17284) : der= 5-(35,10,82656) and res= 5-(35,11,344400) - the given design is the residual.

# 17283: 5-(35,10,82656)

clan: 8-(37,12,13776), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,59850) (# 17273)
supplementary design of 6-(35,10,9975) (# 17274) with respect to smaller t
derived from 6-(36,11,82656) (# 17276)
design 6-(35,10,13776) (# 17277) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,13776) (# 17287) : der= 5-(34,9,13776) and res= 5-(34,10,68880) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,68880) (# 17288) : der= 5-(34,9,13776) and res= 5-(34,10,68880) - the given design is the residual.

# 17284: 5-(35,11,344400)

clan: 8-(37,12,13776), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,59850) (# 17273)
supplementary design of 6-(35,11,49875) (# 17275) with respect to smaller t
residual design of 6-(36,11,82656) (# 17276)
design 6-(35,11,68880) (# 17278) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,68880) (# 17288) : der= 5-(34,10,68880) and res= 5-(34,11,275520) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,275520) (# 17290) : der= 5-(34,10,68880) and res= 5-(34,11,275520) - the given design is the residual.

# 17285: 5-(34,9,9975)

clan: 8-(37,12,9975), 3 times derived
derived from 6-(35,10,9975) (# 17274)
derived from supplementary of 6-(35,10,13776) (# 17277)

# 17286: 5-(34,10,49875)

clan: 8-(37,12,9975), 2 times derived, 1 times residual
residual design of 6-(35,10,9975) (# 17274)
derived from 6-(35,11,49875) (# 17275)
residual design of supplementary of 6-(35,10,13776) (# 17277)
derived from supplementary of 6-(35,11,68880) (# 17278)

# 17287: 5-(34,9,13776)

clan: 8-(37,12,13776), 3 times derived
derived from supplementary of 6-(35,10,9975) (# 17274)
derived from 6-(35,10,13776) (# 17277)

# 17288: 5-(34,10,68880)

clan: 8-(37,12,13776), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,9975) (# 17274)
derived from supplementary of 6-(35,11,49875) (# 17275)
residual design of 6-(35,10,13776) (# 17277)
derived from 6-(35,11,68880) (# 17278)

# 17289: 5-(34,11,199500)

clan: 8-(37,12,9975), 1 times derived, 2 times residual
residual design of 6-(35,11,49875) (# 17275)
residual design of supplementary of 6-(35,11,68880) (# 17278)

# 17290: 5-(34,11,275520)

clan: 8-(37,12,13776), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,49875) (# 17275)
residual design of 6-(35,11,68880) (# 17278)

# 17291: 7-(40,10,1008)

clan: 7-(40,10,1008)
$PSL(4,3)$ (many isomorphism types)

# 17292: 6-(40,10,8568)

clan: 7-(40,10,1008), 1 times reduced t
design 7-(40,10,1008) (# 17291) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,1008) (# 17293) : der= 6-(39,9,1008) and res= 6-(39,10,7560) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,7560) (# 17294) : der= 6-(39,9,1008) and res= 6-(39,10,7560) - the given design is the residual.

# 17293: 6-(39,9,1008)

clan: 7-(40,10,1008), 1 times derived
derived from 7-(40,10,1008) (# 17291)

# 17294: 6-(39,10,7560)

clan: 7-(40,10,1008), 1 times residual
residual design of 7-(40,10,1008) (# 17291)

# 17295: 6-(40,10,37808)

clan: 7-(40,10,4448), 1 times reduced t
supplementary design of 7-(40,10,1008) (# 17291) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,4448) (# 17296) : der= 6-(39,9,4448) and res= 6-(39,10,33360) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,33360) (# 17297) : der= 6-(39,9,4448) and res= 6-(39,10,33360) - the given design is the residual.

# 17296: 6-(39,9,4448)

clan: 7-(40,10,4448), 1 times derived
derived from supplementary of 7-(40,10,1008) (# 17291)

# 17297: 6-(39,10,33360)

clan: 7-(40,10,4448), 1 times residual
residual design of supplementary of 7-(40,10,1008) (# 17291)

# 17298: 5-(40,10,59976)

clan: 7-(40,10,1008), 2 times reduced t
design 6-(40,10,8568) (# 17292) with respect to smaller t
supplementary design of 6-(40,10,37808) (# 17295) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,8568) (# 17299) : der= 5-(39,9,8568) and res= 5-(39,10,51408) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,51408) (# 17300) : der= 5-(39,9,8568) and res= 5-(39,10,51408) - the given design is the residual.

# 17299: 5-(39,9,8568)

clan: 7-(40,10,1008), 1 times reduced t, 1 times derived
derived from 6-(40,10,8568) (# 17292)
design 6-(39,9,1008) (# 17293) with respect to smaller t
derived from supplementary of 6-(40,10,37808) (# 17295)
supplementary design of 6-(39,9,4448) (# 17296) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,1008) (# 17304) : der= 5-(38,8,1008) and res= 5-(38,9,7560) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,7560) (# 17305) : der= 5-(38,8,1008) and res= 5-(38,9,7560) - the given design is the residual.

created: Fri Oct 23 11:14:30 CEST 2009