Extensions 1→N→G→Q→1 with N=D₄×C₃₁ and Q=C₂

Direct product G=N×Q with N=D₄×C₃₁ and Q=C₂

		d	ρ	Label	ID
D₄×C₆₂		248		D4xC62	496,38

Semidirect products G=N:Q with N=D₄×C₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃₁)⋊₁C₂ = D₄⋊D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₁	248	4+	(D4xC31):1C2	496,14
(D₄×C₃₁)⋊₂C₂ = D₄×D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₁	124	4+	(D4xC31):2C2	496,31
(D₄×C₃₁)⋊₃C₂ = D₄⋊₂D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₁	248	4-	(D4xC31):3C2	496,32
(D₄×C₃₁)⋊₄C₂ = D₈×C₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₁	248	2	(D4xC31):4C2	496,24
(D₄×C₃₁)⋊₅C₂ = C₄○D₄×C₃₁	φ: trivial image	248	2	(D4xC31):5C2	496,40

Non-split extensions G=N.Q with N=D₄×C₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃₁).₁C₂ = D₄.D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₁	248	4-	(D4xC31).1C2	496,15
(D₄×C₃₁).₂C₂ = SD₁₆×C₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₁	248	2	(D4xC31).2C2	496,25

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