# Extensions 1→N→G→Q→1 with N=C3×C12 and Q=C4

Direct product G=N×Q with N=C3×C12 and Q=C4
dρLabelID
C122144C12^2144,101

Semidirect products G=N:Q with N=C3×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊1C4 = C4×C32⋊C4φ: C4/C1C4 ⊆ Aut C3×C12244(C3xC12):1C4144,132
(C3×C12)⋊2C4 = C4⋊(C32⋊C4)φ: C4/C1C4 ⊆ Aut C3×C12244(C3xC12):2C4144,133
(C3×C12)⋊3C4 = C12⋊Dic3φ: C4/C2C2 ⊆ Aut C3×C12144(C3xC12):3C4144,94
(C3×C12)⋊4C4 = C3×C4⋊Dic3φ: C4/C2C2 ⊆ Aut C3×C1248(C3xC12):4C4144,78
(C3×C12)⋊5C4 = Dic3×C12φ: C4/C2C2 ⊆ Aut C3×C1248(C3xC12):5C4144,76
(C3×C12)⋊6C4 = C4×C3⋊Dic3φ: C4/C2C2 ⊆ Aut C3×C12144(C3xC12):6C4144,92
(C3×C12)⋊7C4 = C32×C4⋊C4φ: C4/C2C2 ⊆ Aut C3×C12144(C3xC12):7C4144,103

Non-split extensions G=N.Q with N=C3×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C3×C12).1C4 = C322C16φ: C4/C1C4 ⊆ Aut C3×C12484(C3xC12).1C4144,51
(C3×C12).2C4 = C3⋊S33C8φ: C4/C1C4 ⊆ Aut C3×C12244(C3xC12).2C4144,130
(C3×C12).3C4 = C32⋊M4(2)φ: C4/C1C4 ⊆ Aut C3×C12244(C3xC12).3C4144,131
(C3×C12).4C4 = C12.58D6φ: C4/C2C2 ⊆ Aut C3×C1272(C3xC12).4C4144,91
(C3×C12).5C4 = C3×C4.Dic3φ: C4/C2C2 ⊆ Aut C3×C12242(C3xC12).5C4144,75
(C3×C12).6C4 = C3×C3⋊C16φ: C4/C2C2 ⊆ Aut C3×C12482(C3xC12).6C4144,28
(C3×C12).7C4 = C24.S3φ: C4/C2C2 ⊆ Aut C3×C12144(C3xC12).7C4144,29
(C3×C12).8C4 = C6×C3⋊C8φ: C4/C2C2 ⊆ Aut C3×C1248(C3xC12).8C4144,74
(C3×C12).9C4 = C2×C324C8φ: C4/C2C2 ⊆ Aut C3×C12144(C3xC12).9C4144,90
(C3×C12).10C4 = C32×M4(2)φ: C4/C2C2 ⊆ Aut C3×C1272(C3xC12).10C4144,105

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