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

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

		d	ρ	Label	ID
C₂×C₃₁⋊D₄		248		C2xC31:D4	496,36

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃₁⋊D₄⋊₁C₂ = D₄×D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊D₄	124	4+	C31:D4:1C2	496,31
C₃₁⋊D₄⋊₂C₂ = D₄⋊₂D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊D₄	248	4-	C31:D4:2C2	496,32
C₃₁⋊D₄⋊₃C₂ = D₁₂₄⋊₅C₂	φ: trivial image	248	2	C31:D4:3C2	496,30

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