Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊₃S₃

Direct product G=N×Q with N=C₅ and Q=Q₈⋊₃S₃

		d	ρ	Label	ID
C₅×Q₈⋊₃S₃		120	4	C5xQ8:3S3	240,172

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈⋊₃S₃) = D₆₀⋊C₂	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₅	120	4+	C5:1(Q8:3S3)	240,130
C₅⋊₂(Q₈⋊₃S₃) = D₁₂⋊D₅	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:2(Q8:3S3)	240,129
C₅⋊₃(Q₈⋊₃S₃) = Q₈⋊₃D₁₅	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₅	120	4+	C5:3(Q8:3S3)	240,182

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