Extensions 1→N→G→Q→1 with N=Dic₅₆ and Q=C₂

Direct product G=N×Q with N=Dic₅₆ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅₆		448		C2xDic56	448,439

Semidirect products G=N:Q with N=Dic₅₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₆⋊₁C₂ = C₂₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	224	2	Dic56:1C2	448,6
Dic₅₆⋊₂C₂ = C₁₆.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	224	4-	Dic56:2C2	448,443
Dic₅₆⋊₃C₂ = D₁₆.D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	224	4-	Dic56:3C2	448,77
Dic₅₆⋊₄C₂ = D₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	224	4-	Dic56:4C2	448,446
Dic₅₆⋊₅C₂ = D₇×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	224	4-	Dic56:5C2	448,451
Dic₅₆⋊₆C₂ = SD₃₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	224	4-	Dic56:6C2	448,449
Dic₅₆⋊₇C₂ = D₁₁₂⋊₇C₂	φ: trivial image	224	2	Dic56:7C2	448,438

Non-split extensions G=N.Q with N=Dic₅₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₆.₁C₂ = Dic₁₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	448	2-	Dic56.1C2	448,7
Dic₅₆.₂C₂ = C₇⋊Q₆₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₆	448	4-	Dic56.2C2	448,79

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