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

		d	ρ	Label	ID
C₂²×C₁₂		48		C2^2xC12	48,44

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₆)⋊₁C₄ = C₃×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₆	24	(C2xC6):1C4	48,21
(C₂×C₆)⋊₂C₄ = C₆.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₆	24	(C2xC6):2C4	48,19
(C₂×C₆)⋊₃C₄ = C₂²×Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₆	48	(C2xC6):3C4	48,42

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁C₄ = C₃×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₆	24	2	(C2xC6).1C4	48,24
(C₂×C₆).₂C₄ = C₂×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6).2C4	48,9
(C₂×C₆).₃C₄ = C₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₆	24	2	(C2xC6).3C4	48,10

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