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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C12

Direct product G=N×Q with N=C2×C12 and Q=C12
dρLabelID
C2×C122288C2xC12^2288,811

Semidirect products G=N:Q with N=C2×C12 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C12 = C3×C23.7D6φ: C12/C3 → C4 ⊆ Aut C2×C12244(C2xC12):1C12288,268
(C2×C12)⋊2C12 = C32×C23⋊C4φ: C12/C3 → C4 ⊆ Aut C2×C1272(C2xC12):2C12288,317
(C2×C12)⋊3C12 = C3×C6.C42φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12):3C12288,265
(C2×C12)⋊4C12 = C32×C2.C42φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12):4C12288,313
(C2×C12)⋊5C12 = C6×C4⋊Dic3φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12):5C12288,696
(C2×C12)⋊6C12 = C3×C23.26D6φ: C12/C6 → C2 ⊆ Aut C2×C1248(C2xC12):6C12288,697
(C2×C12)⋊7C12 = Dic3×C2×C12φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12):7C12288,693
(C2×C12)⋊8C12 = C4⋊C4×C3×C6φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12):8C12288,813
(C2×C12)⋊9C12 = C32×C42⋊C2φ: C12/C6 → C2 ⊆ Aut C2×C12144(C2xC12):9C12288,814

Non-split extensions G=N.Q with N=C2×C12 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C12 = C9×C23⋊C4φ: C12/C3 → C4 ⊆ Aut C2×C12724(C2xC12).1C12288,49
(C2×C12).2C12 = C9×C4.10D4φ: C12/C3 → C4 ⊆ Aut C2×C121444(C2xC12).2C12288,51
(C2×C12).3C12 = C3×C12.10D4φ: C12/C3 → C4 ⊆ Aut C2×C12484(C2xC12).3C12288,270
(C2×C12).4C12 = C32×C4.10D4φ: C12/C3 → C4 ⊆ Aut C2×C12144(C2xC12).4C12288,319
(C2×C12).5C12 = C9×C2.C42φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12).5C12288,45
(C2×C12).6C12 = C9×C8⋊C4φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12).6C12288,47
(C2×C12).7C12 = C9×C22⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C12144(C2xC12).7C12288,48
(C2×C12).8C12 = C3×C42.S3φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12).8C12288,237
(C2×C12).9C12 = C3×C12⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12).9C12288,238
(C2×C12).10C12 = C3×C12.55D4φ: C12/C6 → C2 ⊆ Aut C2×C1248(C2xC12).10C12288,264
(C2×C12).11C12 = C32×C8⋊C4φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12).11C12288,315
(C2×C12).12C12 = C32×C22⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C12144(C2xC12).12C12288,316
(C2×C12).13C12 = C3×C12.C8φ: C12/C6 → C2 ⊆ Aut C2×C12482(C2xC12).13C12288,246
(C2×C12).14C12 = C6×C4.Dic3φ: C12/C6 → C2 ⊆ Aut C2×C1248(C2xC12).14C12288,692
(C2×C12).15C12 = C12×C3⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12).15C12288,236
(C2×C12).16C12 = C6×C3⋊C16φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12).16C12288,245
(C2×C12).17C12 = C2×C6×C3⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C1296(C2xC12).17C12288,691
(C2×C12).18C12 = C9×C4⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12).18C12288,55
(C2×C12).19C12 = C9×M5(2)φ: C12/C6 → C2 ⊆ Aut C2×C121442(C2xC12).19C12288,60
(C2×C12).20C12 = C4⋊C4×C18φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12).20C12288,166
(C2×C12).21C12 = C9×C42⋊C2φ: C12/C6 → C2 ⊆ Aut C2×C12144(C2xC12).21C12288,167
(C2×C12).22C12 = M4(2)×C18φ: C12/C6 → C2 ⊆ Aut C2×C12144(C2xC12).22C12288,180
(C2×C12).23C12 = C32×C4⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C12288(C2xC12).23C12288,323
(C2×C12).24C12 = C32×M5(2)φ: C12/C6 → C2 ⊆ Aut C2×C12144(C2xC12).24C12288,328
(C2×C12).25C12 = M4(2)×C3×C6φ: C12/C6 → C2 ⊆ Aut C2×C12144(C2xC12).25C12288,827

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