Extensions 1→N→G→Q→1 with N=D₅₆ and Q=C₄

Direct product G=N×Q with N=D₅₆ and Q=C₄

		d	ρ	Label	ID
C₄×D₅₆		224		C4xD56	448,226

Semidirect products G=N:Q with N=D₅₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₆⋊₁C₄ = C₂.D₁₁₂	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	224		D56:1C4	448,66
D₅₆⋊₂C₄ = D₅₆⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	112	4	D56:2C4	448,75
D₅₆⋊₃C₄ = D₅₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	224		D56:3C4	448,245
D₅₆⋊₄C₄ = D₅₆⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	112	4	D56:4C4	448,251
D₅₆⋊₅C₄ = C₁₄.D₁₆	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	224		D56:5C4	448,48
D₅₆⋊₆C₄ = Dic₇⋊₅D₈	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	224		D56:6C4	448,406
D₅₆⋊₇C₄ = D₅₆⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	112	4	D56:7C4	448,429
D₅₆⋊₈C₄ = D₅₆⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	112	4	D56:8C4	448,45
D₅₆⋊₉C₄ = D₅₆⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	224		D56:9C4	448,403
D₅₆⋊₁₀C₄ = D₅₆⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	112	4	D56:10C4	448,428
D₅₆⋊₁₁C₄ = D₅₆⋊₁₁C₄	φ: trivial image	112	2	D56:11C4	448,234

Non-split extensions G=N.Q with N=D₅₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₆.₁C₄ = D₅₆.₁C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	224	2	D56.1C4	448,67
D₅₆.₂C₄ = C₂₈.₃D₈	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	112	4+	D56.2C4	448,73
D₅₆.₃C₄ = Dic₂₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	224	4	D56.3C4	448,54
D₅₆.₄C₄ = D₅₆.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₆	112	4+	D56.4C4	448,52

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