Extensions 1→N→G→Q→1 with N=C₅⋊₂C₃₂ and Q=C₂

Direct product G=N×Q with N=C₅⋊₂C₃₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₅⋊₂C₃₂		320		C2xC5:2C32	320,56

Semidirect products G=N:Q with N=C₅⋊₂C₃₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₃₂⋊₁C₂ = C₅⋊D₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₃₂	160	4+	C5:2C32:1C2	320,77
C₅⋊₂C₃₂⋊₂C₂ = D₁₆.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₃₂	160	4-	C5:2C32:2C2	320,78
C₅⋊₂C₃₂⋊₃C₂ = C₅⋊SD₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₃₂	160	4+	C5:2C32:3C2	320,79
C₅⋊₂C₃₂⋊₄C₂ = C₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₃₂	160	2	C5:2C32:4C2	320,5
C₅⋊₂C₃₂⋊₅C₂ = C₈₀.₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₃₂	160	2	C5:2C32:5C2	320,57
C₅⋊₂C₃₂⋊₆C₂ = D₅×C₃₂	φ: trivial image	160	2	C5:2C32:6C2	320,4

Non-split extensions G=N.Q with N=C₅⋊₂C₃₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₃₂.₁C₂ = C₅⋊Q₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₃₂	320	4-	C5:2C32.1C2	320,80
C₅⋊₂C₃₂.₂C₂ = C₅⋊C₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₃₂	320	4	C5:2C32.2C2	320,3

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