Extensions 1→N→G→Q→1 with N=C₂²×C₄ and Q=C₂

Direct product G=N×Q with N=C₂²×C₄ and Q=C₂

		d	ρ	Label	ID
C₂³×C₄		32		C2^3xC4	32,45

Semidirect products G=N:Q with N=C₂²×C₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄)⋊₁C₂ = C₂×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4):1C2	32,22
(C₂²×C₄)⋊₂C₂ = C₄×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4):2C2	32,25
(C₂²×C₄)⋊₃C₂ = C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4):3C2	32,30
(C₂²×C₄)⋊₄C₂ = C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4):4C2	32,28
(C₂²×C₄)⋊₅C₂ = C₂²×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4):5C2	32,46
(C₂²×C₄)⋊₆C₂ = C₂×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4):6C2	32,48

Non-split extensions G=N.Q with N=C₂²×C₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄).₁C₂ = C₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	32		(C2^2xC4).1C2	32,2
(C₂²×C₄).₂C₂ = C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4).2C2	32,5
(C₂²×C₄).₃C₂ = C₂×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	32		(C2^2xC4).3C2	32,23
(C₂²×C₄).₄C₂ = C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4).4C2	32,24
(C₂²×C₄).₅C₂ = C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4).5C2	32,29
(C₂²×C₄).₆C₂ = C₂×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	16		(C2^2xC4).6C2	32,37
(C₂²×C₄).₇C₂ = C₂²×Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄	32		(C2^2xC4).7C2	32,47

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