Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₂²⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₃×C₂²⋊C₈

		d	ρ	Label	ID
C₁₅×C₂²⋊C₈		240		C15xC2^2:C8	480,201

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₂²⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₂²⋊C₈) = C₃×D₁₀⋊C₈	φ: C₃×C₂²⋊C₈/C₂×C₁₂ → C₄ ⊆ Aut C₅	240		C5:1(C3xC2^2:C8)	480,283
C₅⋊₂(C₃×C₂²⋊C₈) = C₃×C₂³.₂F₅	φ: C₃×C₂²⋊C₈/C₂²×C₆ → C₄ ⊆ Aut C₅	240		C5:2(C3xC2^2:C8)	480,292
C₅⋊₃(C₃×C₂²⋊C₈) = C₃×D₁₀⋊₁C₈	φ: C₃×C₂²⋊C₈/C₂×C₂₄ → C₂ ⊆ Aut C₅	240		C5:3(C3xC2^2:C8)	480,98
C₅⋊₄(C₃×C₂²⋊C₈) = C₃×C₂₀.₅₅D₄	φ: C₃×C₂²⋊C₈/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C3xC2^2:C8)	480,108

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