Extensions 1→N→G→Q→1 with N=C₃₁⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₃₁⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃₁⋊C₈		496		C2xC31:C8	496,8

Semidirect products G=N:Q with N=C₃₁⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃₁⋊C₈⋊₁C₂ = D₄⋊D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊C₈	248	4+	C31:C8:1C2	496,14
C₃₁⋊C₈⋊₂C₂ = D₄.D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊C₈	248	4-	C31:C8:2C2	496,15
C₃₁⋊C₈⋊₃C₂ = Q₈⋊D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊C₈	248	4+	C31:C8:3C2	496,16
C₃₁⋊C₈⋊₄C₂ = C₈⋊D₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊C₈	248	2	C31:C8:4C2	496,4
C₃₁⋊C₈⋊₅C₂ = C₄.Dic₃₁	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊C₈	248	2	C31:C8:5C2	496,9
C₃₁⋊C₈⋊₆C₂ = C₈×D₃₁	φ: trivial image	248	2	C31:C8:6C2	496,3

Non-split extensions G=N.Q with N=C₃₁⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃₁⋊C₈.C₂ = C₃₁⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₁⋊C₈	496	4-	C31:C8.C2	496,17

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