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

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

		d	ρ	Label	ID
S₃×C₄₀		120	2	S3xC40	240,49

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×C₈) = D₁₅⋊C₈	φ: S₃×C₈/Dic₃ → C₄ ⊆ Aut C₅	120	8+	C5:1(S3xC8)	240,99
C₅⋊₂(S₃×C₈) = S₃×C₅⋊C₈	φ: S₃×C₈/D₆ → C₄ ⊆ Aut C₅	120	8-	C5:2(S3xC8)	240,98
C₅⋊₃(S₃×C₈) = D₁₅⋊₂C₈	φ: S₃×C₈/C₃⋊C₈ → C₂ ⊆ Aut C₅	120	4	C5:3(S3xC8)	240,9
C₅⋊₄(S₃×C₈) = C₈×D₁₅	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₅	120	2	C5:4(S3xC8)	240,65
C₅⋊₅(S₃×C₈) = S₃×C₅⋊₂C₈	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₅	120	4	C5:5(S3xC8)	240,8

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