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Extensions 1→N→G→Q→1 with N=C2×S3×D4 and Q=C2

Direct product G=N×Q with N=C2×S3×D4 and Q=C2
dρLabelID
C22×S3×D448C2^2xS3xD4192,1514

Semidirect products G=N:Q with N=C2×S3×D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×S3×D4)⋊1C2 = D4⋊D12φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):1C2192,332
(C2×S3×D4)⋊2C2 = D12⋊D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):2C2192,715
(C2×S3×D4)⋊3C2 = D4×D12φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):3C2192,1108
(C2×S3×D4)⋊4C2 = D4⋊5D12φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):4C2192,1113
(C2×S3×D4)⋊5C2 = S3×C22≀C2φ: C2/C1 → C2 ⊆ Out C2×S3×D424(C2xS3xD4):5C2192,1147
(C2×S3×D4)⋊6C2 = C24⋊7D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):6C2192,1148
(C2×S3×D4)⋊7C2 = C24⋊8D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):7C2192,1149
(C2×S3×D4)⋊8C2 = S3×C4⋊D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):8C2192,1163
(C2×S3×D4)⋊9C2 = C6.372+ 1+4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):9C2192,1164
(C2×S3×D4)⋊10C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):10C2192,1166
(C2×S3×D4)⋊11C2 = D12⋊19D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):11C2192,1168
(C2×S3×D4)⋊12C2 = C6.402+ 1+4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):12C2192,1169
(C2×S3×D4)⋊13C2 = D12⋊20D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):13C2192,1171
(C2×S3×D4)⋊14C2 = C6.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):14C2192,1212
(C2×S3×D4)⋊15C2 = C6.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):15C2192,1213
(C2×S3×D4)⋊16C2 = C42⋊20D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):16C2192,1233
(C2×S3×D4)⋊17C2 = D12⋊10D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):17C2192,1235
(C2×S3×D4)⋊18C2 = S3×C4⋊1D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):18C2192,1273
(C2×S3×D4)⋊19C2 = C42⋊28D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):19C2192,1274
(C2×S3×D4)⋊20C2 = D12⋊11D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):20C2192,1276
(C2×S3×D4)⋊21C2 = C2×S3×D8φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):21C2192,1313
(C2×S3×D4)⋊22C2 = C2×D8⋊S3φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):22C2192,1314
(C2×S3×D4)⋊23C2 = C2×Q8⋊3D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):23C2192,1318
(C2×S3×D4)⋊24C2 = S3×C8⋊C22φ: C2/C1 → C2 ⊆ Out C2×S3×D4248+(C2xS3xD4):24C2192,1331
(C2×S3×D4)⋊25C2 = D4×C3⋊D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):25C2192,1360
(C2×S3×D4)⋊26C2 = C6.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):26C2192,1388
(C2×S3×D4)⋊27C2 = C2×D4⋊6D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):27C2192,1516
(C2×S3×D4)⋊28C2 = C2×D4○D12φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4):28C2192,1521
(C2×S3×D4)⋊29C2 = S3×2+ 1+4φ: C2/C1 → C2 ⊆ Out C2×S3×D4248+(C2xS3xD4):29C2192,1524
(C2×S3×D4)⋊30C2 = C2×S3×C4○D4φ: trivial image48(C2xS3xD4):30C2192,1520

Non-split extensions G=N.Q with N=C2×S3×D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×S3×D4).1C2 = S3×C23⋊C4φ: C2/C1 → C2 ⊆ Out C2×S3×D4248+(C2xS3xD4).1C2192,302
(C2×S3×D4).2C2 = S3×C4.D4φ: C2/C1 → C2 ⊆ Out C2×S3×D4248+(C2xS3xD4).2C2192,303
(C2×S3×D4).3C2 = S3×D4⋊C4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).3C2192,328
(C2×S3×D4).4C2 = C4⋊C4⋊19D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).4C2192,329
(C2×S3×D4).5C2 = D6⋊5SD16φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).5C2192,335
(C2×S3×D4).6C2 = D6⋊6SD16φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).6C2192,728
(C2×S3×D4).7C2 = C42⋊13D6φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).7C2192,1104
(C2×S3×D4).8C2 = S3×C22.D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).8C2192,1211
(C2×S3×D4).9C2 = S3×C4.4D4φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).9C2192,1232
(C2×S3×D4).10C2 = C2×S3×SD16φ: C2/C1 → C2 ⊆ Out C2×S3×D448(C2xS3xD4).10C2192,1317
(C2×S3×D4).11C2 = C4×S3×D4φ: trivial image48(C2xS3xD4).11C2192,1103

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