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

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

		d	ρ	Label	ID
C₄×Dic₃₁		496		C4xDic31	496,10

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₃₁ = C₄⋊Dic₃₁	φ: Dic₃₁/C₆₂ → C₂ ⊆ Aut C₄	496		C4:Dic31	496,12

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₃₁ = C₄.Dic₃₁	φ: Dic₃₁/C₆₂ → C₂ ⊆ Aut C₄	248	2	C4.Dic31	496,9
C₄.₂Dic₃₁ = C₃₁⋊C₁₆	central extension (φ=1)	496	2	C4.2Dic31	496,1
C₄.₃Dic₃₁ = C₂×C₃₁⋊C₈	central extension (φ=1)	496		C4.3Dic31	496,8

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