Extensions 1→N→G→Q→1 with N=D₅₆⋊C₂ and Q=C₂

Direct product G=N×Q with N=D₅₆⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₅₆⋊C₂		112		C2xD56:C2	448,1212

Semidirect products G=N:Q with N=D₅₆⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₆⋊C₂⋊₁C₂ = D₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅₆⋊C₂	56	8+	D56:C2:1C2	448,1225
D₅₆⋊C₂⋊₂C₂ = D₈⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₆⋊C₂	112	8+	D56:C2:2C2	448,1227
D₅₆⋊C₂⋊₃C₂ = D₅₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅₆⋊C₂	112	8+	D56:C2:3C2	448,1230
D₅₆⋊C₂⋊₄C₂ = C₅₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅₆⋊C₂	112	8+	D56:C2:4C2	448,1231
D₅₆⋊C₂⋊₅C₂ = D₂₈.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₆⋊C₂	112	4	D56:C2:5C2	448,1215
D₅₆⋊C₂⋊₆C₂ = D₈⋊₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₆⋊C₂	112	4+	D56:C2:6C2	448,1222
D₅₆⋊C₂⋊₇C₂ = D₈⋊₁₀D₁₄	φ: trivial image	112	4	D56:C2:7C2	448,1221

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