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

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

		d	ρ	Label	ID
C₁₅×C₈.C₂²		240	4	C15xC8.C2^2	480,942

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₈.C₂²) = C₃×C₈.D₁₀	φ: C₃×C₈.C₂²/C₃×M₄(2) → C₂ ⊆ Aut C₅	240	4	C5:1(C3xC8.C2^2)	480,702
C₅⋊₂(C₃×C₈.C₂²) = C₃×SD₁₆⋊D₅	φ: C₃×C₈.C₂²/C₃×SD₁₆ → C₂ ⊆ Aut C₅	240	4	C5:2(C3xC8.C2^2)	480,708
C₅⋊₃(C₃×C₈.C₂²) = C₃×Q₁₆⋊D₅	φ: C₃×C₈.C₂²/C₃×Q₁₆ → C₂ ⊆ Aut C₅	240	4	C5:3(C3xC8.C2^2)	480,711
C₅⋊₄(C₃×C₈.C₂²) = C₃×C₂₀.C₂³	φ: C₃×C₈.C₂²/C₆×Q₈ → C₂ ⊆ Aut C₅	240	4	C5:4(C3xC8.C2^2)	480,735
C₅⋊₅(C₃×C₈.C₂²) = C₃×D₄.₉D₁₀	φ: C₃×C₈.C₂²/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	240	4	C5:5(C3xC8.C2^2)	480,744

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