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

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

		d	ρ	Label	ID
C₅×C₄².S₃		480		C5xC4^2.S3	480,122

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄².S₃) = C₃₀.₃C₄²	φ: C₄².S₃/C₃⋊C₈ → C₄ ⊆ Aut C₅	120	8	C5:1(C4^2.S3)	480,225
C₅⋊₂(C₄².S₃) = C₃₀.₁₁C₄²	φ: C₄².S₃/C₂×C₁₂ → C₄ ⊆ Aut C₅	480		C5:2(C4^2.S3)	480,307
C₅⋊₃(C₄².S₃) = C₃₀.₂₁C₄²	φ: C₄².S₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	480		C5:3(C4^2.S3)	480,28
C₅⋊₄(C₄².S₃) = C₄².D₁₅	φ: C₄².S₃/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:4(C4^2.S3)	480,163

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