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

Direct product G=N×Q with N=C₂×C₆ and Q=C₂

		d	ρ	Label	ID
C₂²×C₆		24		C2^2xC6	24,15

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁C₂ = C₃×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆	12	2	(C2xC6):1C2	24,10
(C₂×C₆)⋊₂C₂ = C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆	12	2	(C2xC6):2C2	24,8
(C₂×C₆)⋊₃C₂ = C₂²×S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆	12		(C2xC6):3C2	24,14

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₂ = C₂×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6).C2	24,7

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