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

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

		d	ρ	Label	ID
C₅×C₄².C₂²		160		C5xC4^2.C2^2	320,134

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄².C₂²) = (C₂×D₄).F₅	φ: C₄².C₂²/C₂×D₄ → C₄ ⊆ Aut C₅	160		C5:1(C4^2.C2^2)	320,259
C₅⋊₂(C₄².C₂²) = (C₂×Q₈).F₅	φ: C₄².C₂²/C₂×Q₈ → C₄ ⊆ Aut C₅	160		C5:2(C4^2.C2^2)	320,265
C₅⋊₃(C₄².C₂²) = C₄².D₁₀	φ: C₄².C₂²/C₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C4^2.C2^2)	320,22
C₅⋊₄(C₄².C₂²) = C₄².₇D₁₀	φ: C₄².C₂²/C₄.₄D₄ → C₂ ⊆ Aut C₅	160		C5:4(C4^2.C2^2)	320,98

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