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

Direct product G=NxQ with N=C₅ and Q=D₄:S₃

		d	ρ	Label	ID
C₅xD₄: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/C₃xD₄ → C₂ ⊆ Aut C₅	120	4+	C5:3(D4:S3)	240,76

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