Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₂

Direct product G=N×Q with N=C₂×D₄ and Q=C₂

		d	ρ	Label	ID
C₂²×D₄		16		C2^2xD4	32,46

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₂ = C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	8		(C2xD4):1C2	32,27
(C₂×D₄)⋊₂C₂ = C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	16		(C2xD4):2C2	32,28
(C₂×D₄)⋊₃C₂ = C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	16		(C2xD4):3C2	32,34
(C₂×D₄)⋊₄C₂ = C₂×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	16		(C2xD4):4C2	32,39
(C₂×D₄)⋊₅C₂ = C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	8	4+	(C2xD4):5C2	32,43
(C₂×D₄)⋊₆C₂ = 2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	8	4+	(C2xD4):6C2	32,49
(C₂×D₄)⋊₇C₂ = C₂×C₄○D₄	φ: trivial image	16		(C2xD4):7C2	32,48

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₂ = C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	8	4+	(C2xD4).1C2	32,6
(C₂×D₄).₂C₂ = C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	8	4+	(C2xD4).2C2	32,7
(C₂×D₄).₃C₂ = D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	16		(C2xD4).3C2	32,9
(C₂×D₄).₄C₂ = C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	16		(C2xD4).4C2	32,30
(C₂×D₄).₅C₂ = C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	16		(C2xD4).5C2	32,31
(C₂×D₄).₆C₂ = C₂×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄	16		(C2xD4).6C2	32,40
(C₂×D₄).₇C₂ = C₄×D₄	φ: trivial image	16		(C2xD4).7C2	32,25

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