Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄².₂C₂²

Direct product G=N×Q with N=C₅ and Q=C₄².₂C₂²

		d	ρ	Label	ID
C₅×C₄².₂C₂²		320		C5xC4^2.2C2^2	320,135

Semidirect products G=N:Q with N=C₅ and Q=C₄².₂C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄².₂C₂²) = C₁₀.C₄≀C₂	φ: C₄².₂C₂²/C₄⋊C₄ → C₄ ⊆ Aut C₅	320		C5:(C4^2.2C2^2)	320,208
C₅⋊₂(C₄².₂C₂²) = C₄².₂D₁₀	φ: C₄².₂C₂²/C₈⋊C₄ → C₂ ⊆ Aut C₅	320		C5:2(C4^2.2C2^2)	320,23
C₅⋊₃(C₄².₂C₂²) = C₄².₈D₁₀	φ: C₄².₂C₂²/C₄².C₂ → C₂ ⊆ Aut C₅	320		C5:3(C4^2.2C2^2)	320,101

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