Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅⋊Q₃₂

Direct product G=N×Q with N=C₃ and Q=C₅⋊Q₃₂

		d	ρ	Label	ID
C₃×C₅⋊Q₃₂		480	4	C3xC5:Q32	480,107

Semidirect products G=N:Q with N=C₃ and Q=C₅⋊Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅⋊Q₃₂) = C₅⋊Dic₂₄	φ: C₅⋊Q₃₂/C₅⋊₂C₁₆ → C₂ ⊆ Aut C₃	480	4-	C3:1(C5:Q32)	480,24
C₃⋊₂(C₅⋊Q₃₂) = C₁₅⋊Q₃₂	φ: C₅⋊Q₃₂/Dic₂₀ → C₂ ⊆ Aut C₃	480	4	C3:2(C5:Q32)	480,22
C₃⋊₃(C₅⋊Q₃₂) = C₁₅⋊₇Q₃₂	φ: C₅⋊Q₃₂/C₅×Q₁₆ → C₂ ⊆ Aut C₃	480	4-	C3:3(C5:Q32)	480,189

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