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

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

		d	ρ	Label	ID
C₂×Dic₃₁		248		C2xDic31	248,6

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₁⋊C₂ = C₃₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₁	124	2	Dic31:C2	248,7
Dic₃₁⋊₂C₂ = C₄×D₃₁	φ: trivial image	124	2	Dic31:2C2	248,4

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₁.C₂ = Dic₆₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₁	248	2-	Dic31.C2	248,3

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