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Extensions 1→N→G→Q→1 with N=S3×C22⋊C4 and Q=C2

Direct product G=N×Q with N=S3×C22⋊C4 and Q=C2
dρLabelID
C2×S3×C22⋊C448C2xS3xC2^2:C4192,1043

Semidirect products G=N:Q with N=S3×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C22⋊C4)⋊1C2 = S3×C22≀C2φ: C2/C1 → C2 ⊆ Out S3×C22⋊C424(S3xC2^2:C4):1C2192,1147
(S3×C22⋊C4)⋊2C2 = C24⋊7D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):2C2192,1148
(S3×C22⋊C4)⋊3C2 = C24.44D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):3C2192,1150
(S3×C22⋊C4)⋊4C2 = S3×C4⋊D4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):4C2192,1163
(S3×C22⋊C4)⋊5C2 = C6.402+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):5C2192,1169
(S3×C22⋊C4)⋊6C2 = D12⋊20D4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):6C2192,1171
(S3×C22⋊C4)⋊7C2 = C6.422+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):7C2192,1172
(S3×C22⋊C4)⋊8C2 = D12⋊21D4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):8C2192,1189
(S3×C22⋊C4)⋊9C2 = C6.532+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):9C2192,1196
(S3×C22⋊C4)⋊10C2 = S3×C22.D4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):10C2192,1211
(S3×C22⋊C4)⋊11C2 = C6.1202+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):11C2192,1212
(S3×C22⋊C4)⋊12C2 = C6.1212+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):12C2192,1213
(S3×C22⋊C4)⋊13C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):13C2192,1216
(S3×C22⋊C4)⋊14C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):14C2192,1217
(S3×C22⋊C4)⋊15C2 = C6.622+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):15C2192,1218
(S3×C22⋊C4)⋊16C2 = S3×C4.4D4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):16C2192,1232
(S3×C22⋊C4)⋊17C2 = D12⋊10D4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):17C2192,1235
(S3×C22⋊C4)⋊18C2 = C42⋊22D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):18C2192,1237
(S3×C22⋊C4)⋊19C2 = C42⋊23D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):19C2192,1238
(S3×C22⋊C4)⋊20C2 = C42⋊25D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):20C2192,1263
(S3×C22⋊C4)⋊21C2 = C42⋊26D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):21C2192,1264
(S3×C22⋊C4)⋊22C2 = S3×C23⋊C4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C4248+(S3xC2^2:C4):22C2192,302
(S3×C22⋊C4)⋊23C2 = C24.35D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):23C2192,1045
(S3×C22⋊C4)⋊24C2 = C24.38D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):24C2192,1049
(S3×C22⋊C4)⋊25C2 = C42⋊9D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):25C2192,1080
(S3×C22⋊C4)⋊26C2 = C42⋊12D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):26C2192,1086
(S3×C22⋊C4)⋊27C2 = C42⋊13D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):27C2192,1104
(S3×C22⋊C4)⋊28C2 = D12⋊23D4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):28C2192,1109
(S3×C22⋊C4)⋊29C2 = C42⋊18D6φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4):29C2192,1115
(S3×C22⋊C4)⋊30C2 = C4×S3×D4φ: trivial image48(S3xC2^2:C4):30C2192,1103

Non-split extensions G=N.Q with N=S3×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C22⋊C4).1C2 = S3×C22⋊Q8φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4).1C2192,1185
(S3×C22⋊C4).2C2 = C6.512+ 1+4φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4).2C2192,1193
(S3×C22⋊C4).3C2 = S3×C42⋊2C2φ: C2/C1 → C2 ⊆ Out S3×C22⋊C448(S3xC2^2:C4).3C2192,1262
(S3×C22⋊C4).4C2 = S3×C42⋊C2φ: trivial image48(S3xC2^2:C4).4C2192,1079

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