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Extensions 1→N→G→Q→1 with N=S3×C4⋊C4 and Q=C2

Direct product G=N×Q with N=S3×C4⋊C4 and Q=C2
dρLabelID
C2×S3×C4⋊C496C2xS3xC4:C4192,1060

Semidirect products G=N:Q with N=S3×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C4⋊C4)⋊1C2 = S3×D4⋊C4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C448(S3xC4:C4):1C2192,328
(S3×C4⋊C4)⋊2C2 = D4⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):2C2192,330
(S3×C4⋊C4)⋊3C2 = D6.D8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):3C2192,333
(S3×C4⋊C4)⋊4C2 = D6.SD16φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):4C2192,336
(S3×C4⋊C4)⋊5C2 = Q8⋊7(C4×S3)φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):5C2192,362
(S3×C4⋊C4)⋊6C2 = D6.4SD16φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):6C2192,422
(S3×C4⋊C4)⋊7C2 = D6.5D8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):7C2192,441
(S3×C4⋊C4)⋊8C2 = C6.82+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):8C2192,1063
(S3×C4⋊C4)⋊9C2 = C6.2- 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):9C2192,1066
(S3×C4⋊C4)⋊10C2 = C6.102+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):10C2192,1070
(S3×C4⋊C4)⋊11C2 = C42.91D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):11C2192,1082
(S3×C4⋊C4)⋊12C2 = C42.94D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):12C2192,1088
(S3×C4⋊C4)⋊13C2 = C42.95D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):13C2192,1089
(S3×C4⋊C4)⋊14C2 = C42.108D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):14C2192,1105
(S3×C4⋊C4)⋊15C2 = D12⋊24D4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):15C2192,1110
(S3×C4⋊C4)⋊16C2 = C42.113D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):16C2192,1117
(S3×C4⋊C4)⋊17C2 = C42.126D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):17C2192,1133
(S3×C4⋊C4)⋊18C2 = D12⋊10Q8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):18C2192,1138
(S3×C4⋊C4)⋊19C2 = C42.132D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):19C2192,1140
(S3×C4⋊C4)⋊20C2 = S3×C4⋊D4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C448(S3xC4:C4):20C2192,1163
(S3×C4⋊C4)⋊21C2 = C6.722- 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):21C2192,1167
(S3×C4⋊C4)⋊22C2 = C6.732- 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):22C2192,1170
(S3×C4⋊C4)⋊23C2 = C6.432+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):23C2192,1173
(S3×C4⋊C4)⋊24C2 = S3×C22⋊Q8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C448(S3xC4:C4):24C2192,1185
(S3×C4⋊C4)⋊25C2 = C6.172- 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):25C2192,1188
(S3×C4⋊C4)⋊26C2 = D12⋊22D4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):26C2192,1190
(S3×C4⋊C4)⋊27C2 = C6.1182+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):27C2192,1194
(S3×C4⋊C4)⋊28C2 = C6.522+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):28C2192,1195
(S3×C4⋊C4)⋊29C2 = C6.202- 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):29C2192,1197
(S3×C4⋊C4)⋊30C2 = C6.212- 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):30C2192,1198
(S3×C4⋊C4)⋊31C2 = S3×C22.D4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C448(S3xC4:C4):31C2192,1211
(S3×C4⋊C4)⋊32C2 = C6.822- 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):32C2192,1214
(S3×C4⋊C4)⋊33C2 = C6.632+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):33C2192,1219
(S3×C4⋊C4)⋊34C2 = C6.642+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):34C2192,1220
(S3×C4⋊C4)⋊35C2 = D12⋊7Q8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):35C2192,1249
(S3×C4⋊C4)⋊36C2 = C42.150D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):36C2192,1251
(S3×C4⋊C4)⋊37C2 = C42.151D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):37C2192,1252
(S3×C4⋊C4)⋊38C2 = C42.152D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):38C2192,1253
(S3×C4⋊C4)⋊39C2 = C42.153D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):39C2192,1254
(S3×C4⋊C4)⋊40C2 = S3×C42⋊2C2φ: C2/C1 → C2 ⊆ Out S3×C4⋊C448(S3xC4:C4):40C2192,1262
(S3×C4⋊C4)⋊41C2 = C42.161D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):41C2192,1266
(S3×C4⋊C4)⋊42C2 = C42.162D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):42C2192,1267
(S3×C4⋊C4)⋊43C2 = C42.163D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):43C2192,1268
(S3×C4⋊C4)⋊44C2 = D12⋊12D4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):44C2192,1285
(S3×C4⋊C4)⋊45C2 = D12⋊9Q8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4):45C2192,1289
(S3×C4⋊C4)⋊46C2 = S3×C42⋊C2φ: trivial image48(S3xC4:C4):46C2192,1079
(S3×C4⋊C4)⋊47C2 = C4×S3×D4φ: trivial image48(S3xC4:C4):47C2192,1103

Non-split extensions G=N.Q with N=S3×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C4⋊C4).1C2 = S3×Q8⋊C4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).1C2192,360
(S3×C4⋊C4).2C2 = D6.1SD16φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).2C2192,364
(S3×C4⋊C4).3C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).3C2192,370
(S3×C4⋊C4).4C2 = S3×C4.Q8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).4C2192,418
(S3×C4⋊C4).5C2 = C8⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).5C2192,420
(S3×C4⋊C4).6C2 = D6.2SD16φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).6C2192,421
(S3×C4⋊C4).7C2 = S3×C2.D8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).7C2192,438
(S3×C4⋊C4).8C2 = C8⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).8C2192,440
(S3×C4⋊C4).9C2 = D6.2Q16φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).9C2192,443
(S3×C4⋊C4).10C2 = S3×C42.C2φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).10C2192,1246
(S3×C4⋊C4).11C2 = C42.148D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).11C2192,1248
(S3×C4⋊C4).12C2 = S3×C4⋊Q8φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).12C2192,1282
(S3×C4⋊C4).13C2 = C42.174D6φ: C2/C1 → C2 ⊆ Out S3×C4⋊C496(S3xC4:C4).13C2192,1288
(S3×C4⋊C4).14C2 = C4×S3×Q8φ: trivial image96(S3xC4:C4).14C2192,1130

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