Extensions 1→N→G→Q→1 with N=C₂×Dic₃₁ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₃₁ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₃₁		496		C2^2xDic31	496,35

Semidirect products G=N:Q with N=C₂×Dic₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃₁)⋊₁C₂ = D₆₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃₁	248		(C2xDic31):1C2	496,13
(C₂×Dic₃₁)⋊₂C₂ = C₂³.D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃₁	248		(C2xDic31):2C2	496,18
(C₂×Dic₃₁)⋊₃C₂ = D₄⋊₂D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃₁	248	4-	(C2xDic31):3C2	496,32
(C₂×Dic₃₁)⋊₄C₂ = C₂×C₃₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃₁	248		(C2xDic31):4C2	496,36
(C₂×Dic₃₁)⋊₅C₂ = C₂×C₄×D₃₁	φ: trivial image	248		(C2xDic31):5C2	496,28

Non-split extensions G=N.Q with N=C₂×Dic₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃₁).₁C₂ = Dic₃₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃₁	496		(C2xDic31).1C2	496,11
(C₂×Dic₃₁).₂C₂ = C₄⋊Dic₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃₁	496		(C2xDic31).2C2	496,12
(C₂×Dic₃₁).₃C₂ = C₂×Dic₆₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃₁	496		(C2xDic31).3C2	496,27
(C₂×Dic₃₁).₄C₂ = C₄×Dic₃₁	φ: trivial image	496		(C2xDic31).4C2	496,10

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