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	240,61

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) = C₆.D₂₀	φ: D₄.S₃/C₃⋊C₈ → C₂ ⊆ Aut C₅	120	4-	C5:1(D4.S3)	240,18
C₅⋊₂(D₄.S₃) = C₃₀.D₄	φ: D₄.S₃/Dic₆ → C₂ ⊆ Aut C₅	120	4	C5:2(D4.S3)	240,16
C₅⋊₃(D₄.S₃) = D₄.D₁₅	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₅	120	4-	C5:3(D4.S3)	240,77

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