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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C4

Direct product G=N×Q with N=C2×C12 and Q=C4
dρLabelID
C2×C4×C1296C2xC4xC1296,161

Semidirect products G=N:Q with N=C2×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C4 = C23.7D6φ: C4/C1 → C4 ⊆ Aut C2×C12244(C2xC12):1C496,41
(C2×C12)⋊2C4 = C3×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C12244(C2xC12):2C496,49
(C2×C12)⋊3C4 = C6.C42φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12):3C496,38
(C2×C12)⋊4C4 = C3×C2.C42φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12):4C496,45
(C2×C12)⋊5C4 = C2×C4⋊Dic3φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12):5C496,132
(C2×C12)⋊6C4 = C23.26D6φ: C4/C2 → C2 ⊆ Aut C2×C1248(C2xC12):6C496,133
(C2×C12)⋊7C4 = C2×C4×Dic3φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12):7C496,129
(C2×C12)⋊8C4 = C6×C4⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12):8C496,163
(C2×C12)⋊9C4 = C3×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C2×C1248(C2xC12):9C496,164

Non-split extensions G=N.Q with N=C2×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C4 = C12.10D4φ: C4/C1 → C4 ⊆ Aut C2×C12484(C2xC12).1C496,43
(C2×C12).2C4 = C3×C4.10D4φ: C4/C1 → C4 ⊆ Aut C2×C12484(C2xC12).2C496,51
(C2×C12).3C4 = C42.S3φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12).3C496,10
(C2×C12).4C4 = C12.55D4φ: C4/C2 → C2 ⊆ Aut C2×C1248(C2xC12).4C496,37
(C2×C12).5C4 = C3×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12).5C496,47
(C2×C12).6C4 = C3×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C1248(C2xC12).6C496,48
(C2×C12).7C4 = C12⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12).7C496,11
(C2×C12).8C4 = C12.C8φ: C4/C2 → C2 ⊆ Aut C2×C12482(C2xC12).8C496,19
(C2×C12).9C4 = C2×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C2×C1248(C2xC12).9C496,128
(C2×C12).10C4 = C4×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12).10C496,9
(C2×C12).11C4 = C2×C3⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12).11C496,18
(C2×C12).12C4 = C22×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12).12C496,127
(C2×C12).13C4 = C3×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C1296(C2xC12).13C496,55
(C2×C12).14C4 = C3×M5(2)φ: C4/C2 → C2 ⊆ Aut C2×C12482(C2xC12).14C496,60
(C2×C12).15C4 = C6×M4(2)φ: C4/C2 → C2 ⊆ Aut C2×C1248(C2xC12).15C496,177

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