Extensions 1→N→G→Q→1 with N=C₂xQ₈ and Q=C₄

Direct product G=NxQ with N=C₂xQ₈ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xQ₈		64		C2xC4xQ8	64,197

Semidirect products G=N:Q with N=C₂xQ₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈):₁C₄ = C₂³.₃₁D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xQ₈	16		(C2xQ8):1C4	64,9
(C₂xQ₈):₂C₄ = C₄²:₃C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xQ₈	16	4	(C2xQ8):2C4	64,35
(C₂xQ₈):₃C₄ = C₂³.₆₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	64		(C2xQ8):3C4	64,72
(C₂xQ₈):₄C₄ = C₂³.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	16	4	(C2xQ8):4C4	64,91
(C₂xQ₈):₅C₄ = C₂xQ₈:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	64		(C2xQ8):5C4	64,96
(C₂xQ₈):₆C₄ = C₂³.₃₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	32		(C2xQ8):6C4	64,100
(C₂xQ₈):₇C₄ = C₂xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	16		(C2xQ8):7C4	64,101
(C₂xQ₈):₈C₄ = C₄²:C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	16	4	(C2xQ8):8C4	64,102
(C₂xQ₈):₉C₄ = C₂³.₃₂C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	32		(C2xQ8):9C4	64,200

Non-split extensions G=N.Q with N=C₂xQ₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈).₁C₄ = C₄².C₂²	φ: C₄/C₁ → C₄ ⊆ Out C₂xQ₈	32		(C2xQ8).1C4	64,10
(C₂xQ₈).₂C₄ = C₄.₆Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₂xQ₈	64		(C2xQ8).2C4	64,14
(C₂xQ₈).₃C₄ = C₄².₃C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xQ₈	16	4-	(C2xQ8).3C4	64,37
(C₂xQ₈).₄C₄ = Q₈:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	64		(C2xQ8).4C4	64,7
(C₂xQ₈).₅C₄ = (C₂²xC₈):C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	32		(C2xQ8).5C4	64,89
(C₂xQ₈).₆C₄ = C₂xC₄.₁₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	32		(C2xQ8).6C4	64,93
(C₂xQ₈).₇C₄ = C₈:₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	64		(C2xQ8).7C4	64,127
(C₂xQ₈).₈C₄ = Q₈oM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xQ₈	16	4	(C2xQ8).8C4	64,249
(C₂xQ₈).₉C₄ = C₈xQ₈	φ: trivial image	64		(C2xQ8).9C4	64,126
(C₂xQ₈).₁₀C₄ = C₂xC₈oD₄	φ: trivial image	32		(C2xQ8).10C4	64,248

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