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Extensions 1→N→G→Q→1 with N=C22×D12 and Q=C2

Direct product G=N×Q with N=C22×D12 and Q=C2
dρLabelID
C23×D1296C2^3xD12192,1512

Semidirect products G=N:Q with N=C22×D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×D12)⋊1C2 = (C2×C12)⋊5D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):1C2192,230
(C22×D12)⋊2C2 = D12⋊13D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):2C2192,291
(C22×D12)⋊3C2 = C23⋊3D12φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):3C2192,519
(C22×D12)⋊4C2 = C2×C4⋊D12φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):4C2192,1034
(C22×D12)⋊5C2 = C2×D6⋊D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):5C2192,1046
(C22×D12)⋊6C2 = C2×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):6C2192,1048
(C22×D12)⋊7C2 = C2×C12⋊D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):7C2192,1065
(C22×D12)⋊8C2 = D4×D12φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):8C2192,1108
(C22×D12)⋊9C2 = D12⋊23D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):9C2192,1109
(C22×D12)⋊10C2 = C6.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):10C2192,1212
(C22×D12)⋊11C2 = C22×D24φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):11C2192,1299
(C22×D12)⋊12C2 = C2×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):12C2192,1349
(C22×D12)⋊13C2 = D12⋊16D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):13C2192,595
(C22×D12)⋊14C2 = C42⋊11D6φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):14C2192,1084
(C22×D12)⋊15C2 = D12⋊19D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):15C2192,1168
(C22×D12)⋊16C2 = D12⋊21D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):16C2192,1189
(C22×D12)⋊17C2 = C2×C8⋊D6φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):17C2192,1305
(C22×D12)⋊18C2 = C22×D4⋊S3φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):18C2192,1351
(C22×D12)⋊19C2 = C2×C12⋊3D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):19C2192,1362
(C22×D12)⋊20C2 = C2×D4⋊D6φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):20C2192,1379
(C22×D12)⋊21C2 = C6.1462+ 1+4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):21C2192,1389
(C22×D12)⋊22C2 = C22×S3×D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):22C2192,1514
(C22×D12)⋊23C2 = C22×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12):23C2192,1518
(C22×D12)⋊24C2 = C2×D4○D12φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12):24C2192,1521
(C22×D12)⋊25C2 = C22×C4○D12φ: trivial image96(C2^2xD12):25C2192,1513

Non-split extensions G=N.Q with N=C22×D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×D12).1C2 = (C2×C4)⋊9D12φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).1C2192,224
(C22×D12).2C2 = C6.C22≀C2φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).2C2192,231
(C22×D12).3C2 = D12.31D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12).3C2192,290
(C22×D12).4C2 = (C2×C4)⋊6D12φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).4C2192,498
(C22×D12).5C2 = (C2×C4)⋊3D12φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).5C2192,550
(C22×D12).6C2 = C2×C2.D24φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).6C2192,671
(C22×D12).7C2 = C2×C42⋊7S3φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).7C2192,1035
(C22×D12).8C2 = C2×D6.D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).8C2192,1064
(C22×D12).9C2 = C22×C24⋊C2φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).9C2192,1298
(C22×D12).10C2 = C2×C6.D8φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).10C2192,524
(C22×D12).11C2 = (C2×D12)⋊10C4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).11C2192,547
(C22×D12).12C2 = C4⋊C4⋊36D6φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12).12C2192,560
(C22×D12).13C2 = D12.36D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12).13C2192,605
(C22×D12).14C2 = C2×C12.46D4φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12).14C2192,689
(C22×D12).15C2 = C23.53D12φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12).15C2192,690
(C22×D12).16C2 = C2×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).16C2192,1062
(C22×D12).17C2 = C42⋊9D6φ: C2/C1 → C2 ⊆ Out C22×D1248(C2^2xD12).17C2192,1080
(C22×D12).18C2 = C22×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).18C2192,1366
(C22×D12).19C2 = C2×C12.23D4φ: C2/C1 → C2 ⊆ Out C22×D1296(C2^2xD12).19C2192,1373
(C22×D12).20C2 = C2×C4×D12φ: trivial image96(C2^2xD12).20C2192,1032

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