Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃×Q₈

Direct product G=N×Q with N=C₅ and Q=S₃×Q₈

		d	ρ	Label	ID
C₅×S₃×Q₈		120	4	C5xS3xQ8	240,171

Semidirect products G=N:Q with N=C₅ and Q=S₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×Q₈) = D₁₅⋊Q₈	φ: S₃×Q₈/Dic₆ → C₂ ⊆ Aut C₅	120	4	C5:1(S3xQ8)	240,131
C₅⋊₂(S₃×Q₈) = S₃×Dic₁₀	φ: S₃×Q₈/C₄×S₃ → C₂ ⊆ Aut C₅	120	4-	C5:2(S3xQ8)	240,128
C₅⋊₃(S₃×Q₈) = Q₈×D₁₅	φ: S₃×Q₈/C₃×Q₈ → C₂ ⊆ Aut C₅	120	4-	C5:3(S3xQ8)	240,181

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