Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊₂S₃

Direct product G=N×Q with N=C₅ and Q=Q₈⋊₂S₃

		d	ρ	Label	ID
C₅×Q₈⋊₂S₃		120	4	C5xQ8:2S3	240,62

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈⋊₂S₃) = C₁₅⋊SD₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₅	120	4+	C5:1(Q8:2S3)	240,19
C₅⋊₂(Q₈⋊₂S₃) = C₂₀.D₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:2(Q8:2S3)	240,17
C₅⋊₃(Q₈⋊₂S₃) = Q₈⋊₂D₁₅	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₅	120	4+	C5:3(Q8:2S3)	240,78

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