Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₅₆

Direct product G=N×Q with N=C₂×C₄ and Q=C₅₆

		d	ρ	Label	ID
C₂×C₄×C₅₆		448		C2xC4xC56	448,810

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₅₆ = C₇×C₂².M₄(2)	φ: C₅₆/C₁₄ → C₄ ⊆ Aut C₂×C₄	224		(C2xC4):C56	448,128
(C₂×C₄)⋊₂C₅₆ = C₇×C₂².₇C₄²	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4):2C56	448,140
(C₂×C₄)⋊₃C₅₆ = C₁₄×C₄⋊C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4):3C56	448,830
(C₂×C₄)⋊₄C₅₆ = C₇×C₄².₁₂C₄	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):4C56	448,839

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₅₆ = C₇×C₂³.C₈	φ: C₅₆/C₁₄ → C₄ ⊆ Aut C₂×C₄	112	4	(C2xC4).C56	448,153
(C₂×C₄).₂C₅₆ = C₇×C₁₆⋊₅C₄	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).2C56	448,150
(C₂×C₄).₃C₅₆ = C₇×C₂²⋊C₁₆	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).3C56	448,152
(C₂×C₄).₄C₅₆ = C₇×C₄⋊C₁₆	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	448		(C2xC4).4C56	448,167
(C₂×C₄).₅C₅₆ = C₇×M₆(2)	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	224	2	(C2xC4).5C56	448,174
(C₂×C₄).₆C₅₆ = C₁₄×M₅(2)	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).6C56	448,911

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