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

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

		d	ρ	Label	ID
C₄×C₅₆⋊C₂		224		C4xC56:C2	448,225

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₆⋊C₂⋊₁C₄ = C₄².₁₆D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₅₆⋊C₂	224		C56:C2:1C4	448,244
C₅₆⋊C₂⋊₂C₄ = D₅₆⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅₆⋊C₂	112	4	C56:C2:2C4	448,251
C₅₆⋊C₂⋊₃C₄ = C₅₆⋊C₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅₆⋊C₂	224		C56:C2:3C4	448,423
C₅₆⋊C₂⋊₄C₄ = D₅₆⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅₆⋊C₂	112	4	C56:C2:4C4	448,428
C₅₆⋊C₂⋊₅C₄ = Dic₇⋊₈SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅₆⋊C₂	224		C56:C2:5C4	448,386
C₅₆⋊C₂⋊₆C₄ = D₅₆⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅₆⋊C₂	112	4	C56:C2:6C4	448,429
C₅₆⋊C₂⋊₇C₄ = D₅₆⋊₁₁C₄	φ: trivial image	112	2	C56:C2:7C4	448,234

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