Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C4

Direct product G=N×Q with N=C2×C6 and Q=C4
dρLabelID
C22×C1248C2^2xC1248,44

Semidirect products G=N:Q with N=C2×C6 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1C4 = C3×C22⋊C4φ: C4/C2C2 ⊆ Aut C2×C624(C2xC6):1C448,21
(C2×C6)⋊2C4 = C6.D4φ: C4/C2C2 ⊆ Aut C2×C624(C2xC6):2C448,19
(C2×C6)⋊3C4 = C22×Dic3φ: C4/C2C2 ⊆ Aut C2×C648(C2xC6):3C448,42

Non-split extensions G=N.Q with N=C2×C6 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C6).1C4 = C3×M4(2)φ: C4/C2C2 ⊆ Aut C2×C6242(C2xC6).1C448,24
(C2×C6).2C4 = C2×C3⋊C8φ: C4/C2C2 ⊆ Aut C2×C648(C2xC6).2C448,9
(C2×C6).3C4 = C4.Dic3φ: C4/C2C2 ⊆ Aut C2×C6242(C2xC6).3C448,10

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