Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₃S₃

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₃S₃

		d	ρ	Label	ID
C₅×C₄²⋊₃S₃		240		C5xC4^2:3S3	480,755

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄²⋊₃S₃) = (C₄×Dic₅)⋊S₃	φ: C₄²⋊₃S₃/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C4^2:3S3)	480,463
C₅⋊₂(C₄²⋊₃S₃) = C₅⋊(C₄²⋊₃S₃)	φ: C₄²⋊₃S₃/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C4^2:3S3)	480,448
C₅⋊₃(C₄²⋊₃S₃) = C₄²⋊₃D₁₅	φ: C₄²⋊₃S₃/C₄×C₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C4^2:3S3)	480,841

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