Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₂²⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₃×C₂²⋊Q₈

		d	ρ	Label	ID
C₁₅×C₂²⋊Q₈		240		C15xC2^2:Q8	480,927

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₂²⋊Q₈) = C₃×Dic₅.₁₄D₄	φ: C₃×C₂²⋊Q₈/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C3xC2^2:Q8)	480,671
C₅⋊₂(C₃×C₂²⋊Q₈) = C₃×D₁₀⋊Q₈	φ: C₃×C₂²⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C3xC2^2:Q8)	480,689
C₅⋊₃(C₃×C₂²⋊Q₈) = C₃×D₁₀⋊₂Q₈	φ: C₃×C₂²⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(C3xC2^2:Q8)	480,690
C₅⋊₄(C₃×C₂²⋊Q₈) = C₃×C₂₀.₄₈D₄	φ: C₃×C₂²⋊Q₈/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C3xC2^2:Q8)	480,717
C₅⋊₅(C₃×C₂²⋊Q₈) = C₃×D₁₀⋊₃Q₈	φ: C₃×C₂²⋊Q₈/C₆×Q₈ → C₂ ⊆ Aut C₅	240		C5:5(C3xC2^2:Q8)	480,739

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