Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₈

Direct product G=N×Q with N=C₂×C₄ and Q=C₈

		d	ρ	Label	ID
C₂×C₄×C₈		64		C2xC4xC8	64,83

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₈ = C₂².M₄(2)	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₄	32		(C2xC4):C8	64,5
(C₂×C₄)⋊₂C₈ = C₂².₇C₄²	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	64		(C2xC4):2C8	64,17
(C₂×C₄)⋊₃C₈ = C₂×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	64		(C2xC4):3C8	64,103
(C₂×C₄)⋊₄C₈ = C₄².₁₂C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	32		(C2xC4):4C8	64,112

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₈ = C₂³.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₄	16	4	(C2xC4).C8	64,30
(C₂×C₄).₂C₈ = C₁₆⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	64		(C2xC4).2C8	64,27
(C₂×C₄).₃C₈ = C₂²⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	32		(C2xC4).3C8	64,29
(C₂×C₄).₄C₈ = C₄⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	64		(C2xC4).4C8	64,44
(C₂×C₄).₅C₈ = M₆(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	32	2	(C2xC4).5C8	64,51
(C₂×C₄).₆C₈ = C₂×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₄	32		(C2xC4).6C8	64,184

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