Extensions 1→N→G→Q→1 with N=C₄×D₃₁ and Q=C₂

Direct product G=N×Q with N=C₄×D₃₁ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₃₁		248		C2xC4xD31	496,28

Semidirect products G=N:Q with N=C₄×D₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₃₁)⋊₁C₂ = D₄×D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₃₁	124	4+	(C4xD31):1C2	496,31
(C₄×D₃₁)⋊₂C₂ = D₄⋊₂D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₃₁	248	4-	(C4xD31):2C2	496,32
(C₄×D₃₁)⋊₃C₂ = Q₈⋊₂D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₃₁	248	4+	(C4xD31):3C2	496,34
(C₄×D₃₁)⋊₄C₂ = D₁₂₄⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₃₁	248	2	(C4xD31):4C2	496,30

Non-split extensions G=N.Q with N=C₄×D₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₃₁).₁C₂ = Q₈×D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₃₁	248	4-	(C4xD31).1C2	496,33
(C₄×D₃₁).₂C₂ = C₈⋊D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₃₁	248	2	(C4xD31).2C2	496,4
(C₄×D₃₁).₃C₂ = C₈×D₃₁	φ: trivial image	248	2	(C4xD31).3C2	496,3

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