Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₅₆

Direct product G=NxQ with N=C₂xC₄ and Q=C₅₆

		d	ρ	Label	ID
C₂xC₄xC₅₆		448		C2xC4xC56	448,810

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):C₅₆ = C₇xC₂².M₄(2)	φ: C₅₆/C₁₄ → C₄ ⊆ Aut C₂xC₄	224		(C2xC4):C56	448,128
(C₂xC₄):₂C₅₆ = C₇xC₂².₇C₄²	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	448		(C2xC4):2C56	448,140
(C₂xC₄):₃C₅₆ = C₁₄xC₄:C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	448		(C2xC4):3C56	448,830
(C₂xC₄):₄C₅₆ = C₇xC₄².₁₂C₄	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4):4C56	448,839

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).C₅₆ = C₇xC₂³.C₈	φ: C₅₆/C₁₄ → C₄ ⊆ Aut C₂xC₄	112	4	(C2xC4).C56	448,153
(C₂xC₄).₂C₅₆ = C₇xC₁₆:₅C₄	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	448		(C2xC4).2C56	448,150
(C₂xC₄).₃C₅₆ = C₇xC₂²:C₁₆	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4).3C56	448,152
(C₂xC₄).₄C₅₆ = C₇xC₄:C₁₆	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	448		(C2xC4).4C56	448,167
(C₂xC₄).₅C₅₆ = C₇xM₆(2)	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	224	2	(C2xC4).5C56	448,174
(C₂xC₄).₆C₅₆ = C₁₄xM₅(2)	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4).6C56	448,911

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