Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂².₇C₄²

Direct product G=N×Q with N=C₅ and Q=C₂².₇C₄²

		d	ρ	Label	ID
C₅×C₂².₇C₄²		320		C5xC2^2.7C4^2	320,141

Semidirect products G=N:Q with N=C₅ and Q=C₂².₇C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂².₇C₄²) = D₁₀.₃M₄(2)	φ: C₂².₇C₄²/C₂×C₈ → C₄ ⊆ Aut C₅	80		C5:1(C2^2.7C4^2)	320,230
C₅⋊₂(C₂².₇C₄²) = C₁₀.(C₄⋊C₈)	φ: C₂².₇C₄²/C₂²×C₄ → C₄ ⊆ Aut C₅	320		C5:2(C2^2.7C4^2)	320,256
C₅⋊₃(C₂².₇C₄²) = (C₂×C₂₀)⋊₈C₈	φ: C₂².₇C₄²/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:3(C2^2.7C4^2)	320,82
C₅⋊₄(C₂².₇C₄²) = (C₂×C₄₀)⋊₁₅C₄	φ: C₂².₇C₄²/C₂²×C₈ → C₂ ⊆ Aut C₅	320		C5:4(C2^2.7C4^2)	320,108

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