Extensions 1→N→G→Q→1 with N=C₃₂ and Q=D₅

Direct product G=N×Q with N=C₃₂ and Q=D₅

		d	ρ	Label	ID
D₅×C₃₂		160	2	D5xC32	320,4

Semidirect products G=N:Q with N=C₃₂ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂⋊₁D₅ = D₁₆₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₂	160	2+	C32:1D5	320,6
C₃₂⋊₂D₅ = C₁₆₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₃₂	160	2	C32:2D5	320,7
C₃₂⋊₃D₅ = C₃₂⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₂	160	2	C32:3D5	320,5

Non-split extensions G=N.Q with N=C₃₂ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂.D₅ = Dic₈₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₂	320	2-	C32.D5	320,8
C₃₂.₂D₅ = C₅⋊₂C₆₄	central extension (φ=1)	320	2	C32.2D5	320,1

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Extensions 1→N→G→Q→1 with N=C32 and Q=D5