Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊S₃

Direct product G=N×Q with N=C₅ and Q=D₄⋊S₃

		d	ρ	Label	ID
C₅×D₄⋊S₃		120	4	C5xD4:S3	240,60

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊S₃) = C₃⋊D₄₀	φ: D₄⋊S₃/C₃⋊C₈ → C₂ ⊆ Aut C₅	120	4+	C5:1(D4:S3)	240,14
C₅⋊₂(D₄⋊S₃) = C₁₅⋊D₈	φ: D₄⋊S₃/D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:2(D4:S3)	240,13
C₅⋊₃(D₄⋊S₃) = D₄⋊D₁₅	φ: D₄⋊S₃/C₃×D₄ → C₂ ⊆ Aut C₅	120	4+	C5:3(D4:S3)	240,76

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