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Extensions 1→N→G→Q→1 with N=C3×C12 and Q=C12

Direct product G=N×Q with N=C3×C12 and Q=C12
dρLabelID
C3×C122432C3xC12^2432,512

Semidirect products G=N:Q with N=C3×C12 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊1C12 = C62.20D6φ: C12/C2 → C6 ⊆ Aut C3×C12144(C3xC12):1C12432,140
(C3×C12)⋊2C12 = C4×C32⋊C12φ: C12/C2 → C6 ⊆ Aut C3×C12144(C3xC12):2C12432,138
(C3×C12)⋊3C12 = C4⋊C4×He3φ: C12/C2 → C6 ⊆ Aut C3×C12144(C3xC12):3C12432,207
(C3×C12)⋊4C12 = C12×C32⋊C4φ: C12/C3 → C4 ⊆ Aut C3×C12484(C3xC12):4C12432,630
(C3×C12)⋊5C12 = C3×C4⋊(C32⋊C4)φ: C12/C3 → C4 ⊆ Aut C3×C12484(C3xC12):5C12432,631
(C3×C12)⋊6C12 = C42×He3φ: C12/C4 → C3 ⊆ Aut C3×C12144(C3xC12):6C12432,201
(C3×C12)⋊7C12 = C3×C12⋊Dic3φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12):7C12432,489
(C3×C12)⋊8C12 = C32×C4⋊Dic3φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12):8C12432,473
(C3×C12)⋊9C12 = Dic3×C3×C12φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12):9C12432,471
(C3×C12)⋊10C12 = C12×C3⋊Dic3φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12):10C12432,487
(C3×C12)⋊11C12 = C4⋊C4×C33φ: C12/C6 → C2 ⊆ Aut C3×C12432(C3xC12):11C12432,514

Non-split extensions G=N.Q with N=C3×C12 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C3×C12).1C12 = He3⋊7M4(2)φ: C12/C2 → C6 ⊆ Aut C3×C12726(C3xC12).1C12432,137
(C3×C12).2C12 = He3⋊3C16φ: C12/C2 → C6 ⊆ Aut C3×C121446(C3xC12).2C12432,30
(C3×C12).3C12 = C2×He3⋊3C8φ: C12/C2 → C6 ⊆ Aut C3×C12144(C3xC12).3C12432,136
(C3×C12).4C12 = C4⋊C4×3- 1+2φ: C12/C2 → C6 ⊆ Aut C3×C12144(C3xC12).4C12432,208
(C3×C12).5C12 = M4(2)×He3φ: C12/C2 → C6 ⊆ Aut C3×C12726(C3xC12).5C12432,213
(C3×C12).6C12 = M4(2)×3- 1+2φ: C12/C2 → C6 ⊆ Aut C3×C12726(C3xC12).6C12432,214
(C3×C12).7C12 = C3×C32⋊2C16φ: C12/C3 → C4 ⊆ Aut C3×C12484(C3xC12).7C12432,412
(C3×C12).8C12 = C3×C3⋊S3⋊3C8φ: C12/C3 → C4 ⊆ Aut C3×C12484(C3xC12).8C12432,628
(C3×C12).9C12 = C3×C32⋊M4(2)φ: C12/C3 → C4 ⊆ Aut C3×C12484(C3xC12).9C12432,629
(C3×C12).10C12 = C16×He3φ: C12/C4 → C3 ⊆ Aut C3×C121443(C3xC12).10C12432,35
(C3×C12).11C12 = C16×3- 1+2φ: C12/C4 → C3 ⊆ Aut C3×C121443(C3xC12).11C12432,36
(C3×C12).12C12 = C42×3- 1+2φ: C12/C4 → C3 ⊆ Aut C3×C12144(C3xC12).12C12432,202
(C3×C12).13C12 = C2×C8×He3φ: C12/C4 → C3 ⊆ Aut C3×C12144(C3xC12).13C12432,210
(C3×C12).14C12 = C2×C8×3- 1+2φ: C12/C4 → C3 ⊆ Aut C3×C12144(C3xC12).14C12432,211
(C3×C12).15C12 = C3×C12.58D6φ: C12/C6 → C2 ⊆ Aut C3×C1272(C3xC12).15C12432,486
(C3×C12).16C12 = C9×C4.Dic3φ: C12/C6 → C2 ⊆ Aut C3×C12722(C3xC12).16C12432,127
(C3×C12).17C12 = C9×C4⋊Dic3φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12).17C12432,133
(C3×C12).18C12 = C32×C4.Dic3φ: C12/C6 → C2 ⊆ Aut C3×C1272(C3xC12).18C12432,470
(C3×C12).19C12 = C9×C3⋊C16φ: C12/C6 → C2 ⊆ Aut C3×C121442(C3xC12).19C12432,29
(C3×C12).20C12 = C18×C3⋊C8φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12).20C12432,126
(C3×C12).21C12 = Dic3×C36φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12).21C12432,131
(C3×C12).22C12 = C32×C3⋊C16φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12).22C12432,229
(C3×C12).23C12 = C3×C24.S3φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12).23C12432,230
(C3×C12).24C12 = C3×C6×C3⋊C8φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12).24C12432,469
(C3×C12).25C12 = C6×C32⋊4C8φ: C12/C6 → C2 ⊆ Aut C3×C12144(C3xC12).25C12432,485
(C3×C12).26C12 = C4⋊C4×C3×C9φ: C12/C6 → C2 ⊆ Aut C3×C12432(C3xC12).26C12432,206
(C3×C12).27C12 = M4(2)×C3×C9φ: C12/C6 → C2 ⊆ Aut C3×C12216(C3xC12).27C12432,212
(C3×C12).28C12 = M4(2)×C33φ: C12/C6 → C2 ⊆ Aut C3×C12216(C3xC12).28C12432,516

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