Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄².₃₀C₂²

Direct product G=N×Q with N=C₅ and Q=C₄².₃₀C₂²

		d	ρ	Label	ID
C₅×C₄².₃₀C₂²		320		C5xC4^2.30C2^2	320,992

Semidirect products G=N:Q with N=C₅ and Q=C₄².₃₀C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄².₃₀C₂²) = C₄².₁₄D₁₀	φ: C₄².₃₀C₂²/C₈⋊C₄ → C₂ ⊆ Aut C₅	320		C5:1(C4^2.30C2^2)	320,330
C₅⋊₂(C₄².₃₀C₂²) = C₄₀⋊₈C₄.C₂	φ: C₄².₃₀C₂²/Q₈⋊C₄ → C₂ ⊆ Aut C₅	320		C5:2(C4^2.30C2^2)	320,424
C₅⋊₃(C₄².₃₀C₂²) = C₄².₇₁D₁₀	φ: C₄².₃₀C₂²/C₄².C₂ → C₂ ⊆ Aut C₅	320		C5:3(C4^2.30C2^2)	320,696
C₅⋊₄(C₄².₃₀C₂²) = C₄².₇₇D₁₀	φ: C₄².₃₀C₂²/C₄⋊Q₈ → C₂ ⊆ Aut C₅	320		C5:4(C4^2.30C2^2)	320,709

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