Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²:₂S₃

Direct product G=NxQ with N=C₅ and Q=C₄²:₂S₃

		d	ρ	Label	ID
C₅xC₄²:₂S₃		240		C5xC4^2:2S3	480,751

Semidirect products G=N:Q with N=C₅ and Q=C₄²:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₄²:₂S₃) = (C₄xS₃):F₅	φ: C₄²:₂S₃/C₄xS₃ → C₄ ⊆ Aut C₅	120	8	C5:(C4^2:2S3)	480,985
C₅:₂(C₄²:₂S₃) = (C₄xD₁₅):₁₀C₄	φ: C₄²:₂S₃/C₄xDic₃ → C₂ ⊆ Aut C₅	240		C5:2(C4^2:2S3)	480,462
C₅:₃(C₄²:₂S₃) = D₃₀.C₂:C₄	φ: C₄²:₂S₃/Dic₃:C₄ → C₂ ⊆ Aut C₅	240		C5:3(C4^2:2S3)	480,478
C₅:₄(C₄²:₂S₃) = D₆.(C₄xD₅)	φ: C₄²:₂S₃/D₆:C₄ → C₂ ⊆ Aut C₅	240		C5:4(C4^2:2S3)	480,474
C₅:₅(C₄²:₂S₃) = C₄²:₂D₁₅	φ: C₄²:₂S₃/C₄xC₁₂ → C₂ ⊆ Aut C₅	240		C5:5(C4^2:2S3)	480,837
C₅:₆(C₄²:₂S₃) = (S₃xC₂₀):₇C₄	φ: C₄²:₂S₃/S₃xC₂xC₄ → C₂ ⊆ Aut C₅	240		C5:6(C4^2:2S3)	480,447

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