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

Direct product G=N×Q with N=C2×C12 and Q=C2
dρLabelID
C22×C1248C2^2xC1248,44

Semidirect products G=N:Q with N=C2×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C2 = D6⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C1224(C2xC12):1C248,14
(C2×C12)⋊2C2 = C3×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C1224(C2xC12):2C248,21
(C2×C12)⋊3C2 = C2×D12φ: C2/C1 → C2 ⊆ Aut C2×C1224(C2xC12):3C248,36
(C2×C12)⋊4C2 = C4○D12φ: C2/C1 → C2 ⊆ Aut C2×C12242(C2xC12):4C248,37
(C2×C12)⋊5C2 = S3×C2×C4φ: C2/C1 → C2 ⊆ Aut C2×C1224(C2xC12):5C248,35
(C2×C12)⋊6C2 = C6×D4φ: C2/C1 → C2 ⊆ Aut C2×C1224(C2xC12):6C248,45
(C2×C12)⋊7C2 = C3×C4○D4φ: C2/C1 → C2 ⊆ Aut C2×C12242(C2xC12):7C248,47

Non-split extensions G=N.Q with N=C2×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C2 = Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C1248(C2xC12).1C248,12
(C2×C12).2C2 = C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C2×C1248(C2xC12).2C248,13
(C2×C12).3C2 = C2×Dic6φ: C2/C1 → C2 ⊆ Aut C2×C1248(C2xC12).3C248,34
(C2×C12).4C2 = C4.Dic3φ: C2/C1 → C2 ⊆ Aut C2×C12242(C2xC12).4C248,10
(C2×C12).5C2 = C2×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C1248(C2xC12).5C248,9
(C2×C12).6C2 = C4×Dic3φ: C2/C1 → C2 ⊆ Aut C2×C1248(C2xC12).6C248,11
(C2×C12).7C2 = C3×C4⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C1248(C2xC12).7C248,22
(C2×C12).8C2 = C3×M4(2)φ: C2/C1 → C2 ⊆ Aut C2×C12242(C2xC12).8C248,24
(C2×C12).9C2 = C6×Q8φ: C2/C1 → C2 ⊆ Aut C2×C1248(C2xC12).9C248,46

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