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

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

		d	ρ	Label	ID
C₂×C₄²		32		C2xC4^2	32,21

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₄ = C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₄	8	4+	(C2xC4):C4	32,6
(C₂×C₄)⋊₂C₄ = C₂.C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	32		(C2xC4):2C4	32,2
(C₂×C₄)⋊₃C₄ = C₂×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	32		(C2xC4):3C4	32,23
(C₂×C₄)⋊₄C₄ = C₄²⋊C₂	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	16		(C2xC4):4C4	32,24

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₄ = C₄.₁₀D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₄	16	4-	(C2xC4).C4	32,8
(C₂×C₄).₂C₄ = C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	32		(C2xC4).2C4	32,4
(C₂×C₄).₃C₄ = C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	16		(C2xC4).3C4	32,5
(C₂×C₄).₄C₄ = C₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	32		(C2xC4).4C4	32,12
(C₂×C₄).₅C₄ = M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	16	2	(C2xC4).5C4	32,17
(C₂×C₄).₆C₄ = C₂×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄	16		(C2xC4).6C4	32,37

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