Extensions 1→N→G→Q→1 with N=Dic₃₁ and Q=C₄

Direct product G=NxQ with N=Dic₃₁ and Q=C₄

		d	ρ	Label	ID
C₄xDic₃₁		496		C4xDic31	496,10

Semidirect products G=N:Q with N=Dic₃₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₁:C₄ = Dic₃₁:C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₁	496		Dic31:C4	496,11

Non-split extensions G=N.Q with N=Dic₃₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₁.C₄ = C₈:D₃₁	φ: C₄/C₂ → C₂ ⊆ Out Dic₃₁	248	2	Dic31.C4	496,4
Dic₃₁.₂C₄ = C₈xD₃₁	φ: trivial image	248	2	Dic31.2C4	496,3

Extensions 1→N→G→Q→1 with N=Dic31 and Q=C4