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
C₁₅×Q₃₂		480	2	C15xQ32	480,216

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/C₈₀ → C₂ ⊆ Aut C₃	480	2	C3:1(C5xQ32)	480,120
C₃⋊₂(C₅×Q₃₂) = C₅×C₃⋊Q₃₂	φ: C₅×Q₃₂/C₅×Q₁₆ → C₂ ⊆ Aut C₃	480	4	C3:2(C5xQ32)	480,148

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁