Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₃₁

Direct product G=N×Q with N=C₂² and Q=Dic₃₁

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

Semidirect products G=N:Q with N=C₂² and Q=Dic₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₃₁ = C₂³.D₃₁	φ: Dic₃₁/C₆₂ → C₂ ⊆ Aut C₂²	248		C2^2:Dic31	496,18

Non-split extensions G=N.Q with N=C₂² and Q=Dic₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².Dic₃₁ = C₄.Dic₃₁	φ: Dic₃₁/C₆₂ → C₂ ⊆ Aut C₂²	248	2	C2^2.Dic31	496,9
C₂².₂Dic₃₁ = C₂×C₃₁⋊C₈	central extension (φ=1)	496		C2^2.2Dic31	496,8

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Extensions 1→N→G→Q→1 with N=C22 and Q=Dic31