Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃×C₂×C₈

Direct product G=N×Q with N=C₅ and Q=S₃×C₂×C₈

		d	ρ	Label	ID
S₃×C₂×C₄₀		240		S3xC2xC40	480,778

Semidirect products G=N:Q with N=C₅ and Q=S₃×C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×C₂×C₈) = S₃×D₅⋊C₈	φ: S₃×C₂×C₈/C₄×S₃ → C₄ ⊆ Aut C₅	120	8	C5:1(S3xC2xC8)	480,986
C₅⋊₂(S₃×C₂×C₈) = C₂×D₁₅⋊C₈	φ: S₃×C₂×C₈/C₂×Dic₃ → C₄ ⊆ Aut C₅	240		C5:2(S3xC2xC8)	480,1006
C₅⋊₃(S₃×C₂×C₈) = C₂×S₃×C₅⋊C₈	φ: S₃×C₂×C₈/C₂²×S₃ → C₄ ⊆ Aut C₅	240		C5:3(S3xC2xC8)	480,1002
C₅⋊₄(S₃×C₂×C₈) = S₃×C₈×D₅	φ: S₃×C₂×C₈/S₃×C₈ → C₂ ⊆ Aut C₅	120	4	C5:4(S3xC2xC8)	480,319
C₅⋊₅(S₃×C₂×C₈) = C₂×D₁₅⋊₂C₈	φ: S₃×C₂×C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	240		C5:5(S3xC2xC8)	480,365
C₅⋊₆(S₃×C₂×C₈) = C₂×C₈×D₁₅	φ: S₃×C₂×C₈/C₂×C₂₄ → C₂ ⊆ Aut C₅	240		C5:6(S3xC2xC8)	480,864
C₅⋊₇(S₃×C₂×C₈) = C₂×S₃×C₅⋊₂C₈	φ: S₃×C₂×C₈/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:7(S3xC2xC8)	480,361

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