Extensions 1→N→G→Q→1 with N=Dic₅₇ and Q=C₂

Direct product G=N×Q with N=Dic₅₇ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅₇		456		C2xDic57	456,37

Semidirect products G=N:Q with N=Dic₅₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₇⋊₁C₂ = C₅₇⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₇	228	2	Dic57:1C2	456,38
Dic₅₇⋊₂C₂ = Dic₃×D₁₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₇	228	4-	Dic57:2C2	456,12
Dic₅₇⋊₃C₂ = S₃×Dic₁₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₇	228	4-	Dic57:3C2	456,13
Dic₅₇⋊₄C₂ = C₅₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₇	228	4-	Dic57:4C2	456,15
Dic₅₇⋊₅C₂ = C₄×D₅₇	φ: trivial image	228	2	Dic57:5C2	456,35

Non-split extensions G=N.Q with N=Dic₅₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₇.₁C₂ = Dic₁₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₇	456	2-	Dic57.1C2	456,34
Dic₅₇.₂C₂ = C₅₇⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₇	456	4-	Dic57.2C2	456,18

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