Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₂

Direct product G=N×Q with N=C₂×Q₈ and Q=C₂

		d	ρ	Label	ID
C₂²×Q₈		32		C2^2xQ8	32,47

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁C₂ = C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):1C2	32,29
(C₂×Q₈)⋊₂C₂ = C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):2C2	32,31
(C₂×Q₈)⋊₃C₂ = C₂×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):3C2	32,40
(C₂×Q₈)⋊₄C₂ = C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	16	4-	(C2xQ8):4C2	32,44
(C₂×Q₈)⋊₅C₂ = 2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	16	4-	(C2xQ8):5C2	32,50
(C₂×Q₈)⋊₆C₂ = C₂×C₄○D₄	φ: trivial image	16		(C2xQ8):6C2	32,48

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₂ = C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	16	4-	(C2xQ8).1C2	32,8
(C₂×Q₈).₂C₂ = Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).2C2	32,10
(C₂×Q₈).₃C₂ = C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).3C2	32,35
(C₂×Q₈).₄C₂ = C₂×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).4C2	32,41
(C₂×Q₈).₅C₂ = C₄×Q₈	φ: trivial image	32		(C2xQ8).5C2	32,26

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