Extensions 1→N→G→Q→1 with N=C₂²×D₃₁ and Q=C₂

Direct product G=N×Q with N=C₂²×D₃₁ and Q=C₂

		d	ρ	Label	ID
C₂³×D₃₁		248		C2^3xD31	496,41

Semidirect products G=N:Q with N=C₂²×D₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₃₁)⋊₁C₂ = C₂×D₁₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₃₁	248		(C2^2xD31):1C2	496,29
(C₂²×D₃₁)⋊₂C₂ = D₄×D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₃₁	124	4+	(C2^2xD31):2C2	496,31
(C₂²×D₃₁)⋊₃C₂ = C₂×C₃₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₃₁	248		(C2^2xD31):3C2	496,36

Non-split extensions G=N.Q with N=C₂²×D₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₃₁).C₂ = D₆₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₃₁	248		(C2^2xD31).C2	496,13
(C₂²×D₃₁).₂C₂ = C₂×C₄×D₃₁	φ: trivial image	248		(C2^2xD31).2C2	496,28

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Extensions 1→N→G→Q→1 with N=C22×D31 and Q=C2