Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₄

Direct product G=N×Q with N=C₂×Q₈ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×Q₈		64		C2xC4xQ8	64,197

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁C₄ = C₂³.₃₁D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₈	16		(C2xQ8):1C4	64,9
(C₂×Q₈)⋊₂C₄ = C₄²⋊₃C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₈	16	4	(C2xQ8):2C4	64,35
(C₂×Q₈)⋊₃C₄ = C₂³.₆₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8):3C4	64,72
(C₂×Q₈)⋊₄C₄ = C₂³.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	16	4	(C2xQ8):4C4	64,91
(C₂×Q₈)⋊₅C₄ = C₂×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8):5C4	64,96
(C₂×Q₈)⋊₆C₄ = C₂³.₃₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8):6C4	64,100
(C₂×Q₈)⋊₇C₄ = C₂×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):7C4	64,101
(C₂×Q₈)⋊₈C₄ = C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	16	4	(C2xQ8):8C4	64,102
(C₂×Q₈)⋊₉C₄ = C₂³.₃₂C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8):9C4	64,200

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₄ = C₄².C₂²	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₈	32		(C2xQ8).1C4	64,10
(C₂×Q₈).₂C₄ = C₄.₆Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₈	64		(C2xQ8).2C4	64,14
(C₂×Q₈).₃C₄ = C₄².₃C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₈	16	4-	(C2xQ8).3C4	64,37
(C₂×Q₈).₄C₄ = Q₈⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).4C4	64,7
(C₂×Q₈).₅C₄ = (C₂²×C₈)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).5C4	64,89
(C₂×Q₈).₆C₄ = C₂×C₄.₁₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).6C4	64,93
(C₂×Q₈).₇C₄ = C₈⋊₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).7C4	64,127
(C₂×Q₈).₈C₄ = Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₈	16	4	(C2xQ8).8C4	64,249
(C₂×Q₈).₉C₄ = C₈×Q₈	φ: trivial image	64		(C2xQ8).9C4	64,126
(C₂×Q₈).₁₀C₄ = C₂×C₈○D₄	φ: trivial image	32		(C2xQ8).10C4	64,248

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