Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₄S₃

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₄S₃

		d	ρ	Label	ID
C₅×C₄²⋊₄S₃		120	2	C5xC4^2:4S3	480,124

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₄S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄²⋊₄S₃) = D₆₀⋊₅C₄	φ: C₄²⋊₄S₃/Dic₆ → C₄ ⊆ Aut C₅	120	8+	C5:1(C4^2:4S3)	480,234
C₅⋊₂(C₄²⋊₄S₃) = D₁₂⋊₂F₅	φ: C₄²⋊₄S₃/D₁₂ → C₄ ⊆ Aut C₅	120	8-	C5:2(C4^2:4S3)	480,232
C₅⋊₃(C₄²⋊₄S₃) = D₆₀⋊₁₆C₄	φ: C₄²⋊₄S₃/C₄.Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:3(C4^2:4S3)	480,57
C₅⋊₄(C₄²⋊₄S₃) = D₆₀⋊₇C₄	φ: C₄²⋊₄S₃/C₄×C₁₂ → C₂ ⊆ Aut C₅	120	2	C5:4(C4^2:4S3)	480,165
C₅⋊₅(C₄²⋊₄S₃) = C₆₀.₉₉D₄	φ: C₄²⋊₄S₃/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:5(C4^2:4S3)	480,55

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