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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=Dic3

Direct product G=N×Q with N=C2×C12 and Q=Dic3
dρLabelID
Dic3×C2×C1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=C2×C12 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1Dic3 = C3×C23.7D6φ: Dic3/C3 → C4 ⊆ Aut C2×C12244(C2xC12):1Dic3288,268
(C2×C12)⋊2Dic3 = C62.38D4φ: Dic3/C3 → C4 ⊆ Aut C2×C1272(C2xC12):2Dic3288,309
(C2×C12)⋊3Dic3 = C3×C6.C42φ: Dic3/C6 → C2 ⊆ Aut C2×C1296(C2xC12):3Dic3288,265
(C2×C12)⋊4Dic3 = C62.15Q8φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12):4Dic3288,306
(C2×C12)⋊5Dic3 = C2×C12⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12):5Dic3288,782
(C2×C12)⋊6Dic3 = C62.247C23φ: Dic3/C6 → C2 ⊆ Aut C2×C12144(C2xC12):6Dic3288,783
(C2×C12)⋊7Dic3 = C2×C4×C3⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12):7Dic3288,779
(C2×C12)⋊8Dic3 = C6×C4⋊Dic3φ: Dic3/C6 → C2 ⊆ Aut C2×C1296(C2xC12):8Dic3288,696
(C2×C12)⋊9Dic3 = C3×C23.26D6φ: Dic3/C6 → C2 ⊆ Aut C2×C1248(C2xC12):9Dic3288,697

Non-split extensions G=N.Q with N=C2×C12 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
(C2×C12).1Dic3 = C23⋊2Dic9φ: Dic3/C3 → C4 ⊆ Aut C2×C12724(C2xC12).1Dic3288,41
(C2×C12).2Dic3 = C36.9D4φ: Dic3/C3 → C4 ⊆ Aut C2×C121444(C2xC12).2Dic3288,42
(C2×C12).3Dic3 = C3×C12.10D4φ: Dic3/C3 → C4 ⊆ Aut C2×C12484(C2xC12).3Dic3288,270
(C2×C12).4Dic3 = (C6×C12).C4φ: Dic3/C3 → C4 ⊆ Aut C2×C12144(C2xC12).4Dic3288,311
(C2×C12).5Dic3 = C42.D9φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).5Dic3288,10
(C2×C12).6Dic3 = C36⋊C8φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).6Dic3288,11
(C2×C12).7Dic3 = C36.55D4φ: Dic3/C6 → C2 ⊆ Aut C2×C12144(C2xC12).7Dic3288,37
(C2×C12).8Dic3 = C18.C42φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).8Dic3288,38
(C2×C12).9Dic3 = C3×C42.S3φ: Dic3/C6 → C2 ⊆ Aut C2×C1296(C2xC12).9Dic3288,237
(C2×C12).10Dic3 = C3×C12.55D4φ: Dic3/C6 → C2 ⊆ Aut C2×C1248(C2xC12).10Dic3288,264
(C2×C12).11Dic3 = C122.C2φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).11Dic3288,278
(C2×C12).12Dic3 = C12.57D12φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).12Dic3288,279
(C2×C12).13Dic3 = C62⋊7C8φ: Dic3/C6 → C2 ⊆ Aut C2×C12144(C2xC12).13Dic3288,305
(C2×C12).14Dic3 = C2×C4.Dic9φ: Dic3/C6 → C2 ⊆ Aut C2×C12144(C2xC12).14Dic3288,131
(C2×C12).15Dic3 = C2×C4⋊Dic9φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).15Dic3288,135
(C2×C12).16Dic3 = C2×C12.58D6φ: Dic3/C6 → C2 ⊆ Aut C2×C12144(C2xC12).16Dic3288,778
(C2×C12).17Dic3 = C36.C8φ: Dic3/C6 → C2 ⊆ Aut C2×C121442(C2xC12).17Dic3288,19
(C2×C12).18Dic3 = C23.26D18φ: Dic3/C6 → C2 ⊆ Aut C2×C12144(C2xC12).18Dic3288,136
(C2×C12).19Dic3 = C24.94D6φ: Dic3/C6 → C2 ⊆ Aut C2×C12144(C2xC12).19Dic3288,287
(C2×C12).20Dic3 = C4×C9⋊C8φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).20Dic3288,9
(C2×C12).21Dic3 = C2×C9⋊C16φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).21Dic3288,18
(C2×C12).22Dic3 = C22×C9⋊C8φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).22Dic3288,130
(C2×C12).23Dic3 = C2×C4×Dic9φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).23Dic3288,132
(C2×C12).24Dic3 = C4×C32⋊4C8φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).24Dic3288,277
(C2×C12).25Dic3 = C2×C24.S3φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).25Dic3288,286
(C2×C12).26Dic3 = C22×C32⋊4C8φ: Dic3/C6 → C2 ⊆ Aut C2×C12288(C2xC12).26Dic3288,777
(C2×C12).27Dic3 = C3×C12⋊C8φ: Dic3/C6 → C2 ⊆ Aut C2×C1296(C2xC12).27Dic3288,238
(C2×C12).28Dic3 = C3×C12.C8φ: Dic3/C6 → C2 ⊆ Aut C2×C12482(C2xC12).28Dic3288,246
(C2×C12).29Dic3 = C6×C4.Dic3φ: Dic3/C6 → C2 ⊆ Aut C2×C1248(C2xC12).29Dic3288,692
(C2×C12).30Dic3 = C12×C3⋊C8central extension (φ=1)96(C2xC12).30Dic3288,236
(C2×C12).31Dic3 = C6×C3⋊C16central extension (φ=1)96(C2xC12).31Dic3288,245
(C2×C12).32Dic3 = C2×C6×C3⋊C8central extension (φ=1)96(C2xC12).32Dic3288,691

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