Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄²⋊₂C₂

Direct product G=N×Q with N=C₅ and Q=C₂×C₄²⋊₂C₂

		d	ρ	Label	ID
C₁₀×C₄²⋊₂C₂		160		C10xC4^2:2C2	320,1530

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄²⋊₂C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄²⋊₂C₂) = C₂×C₄²⋊₂D₅	φ: C₂×C₄²⋊₂C₂/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:1(C2xC4^2:2C2)	320,1150
C₅⋊₂(C₂×C₄²⋊₂C₂) = C₂×C₂³.D₁₀	φ: C₂×C₄²⋊₂C₂/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2xC4^2:2C2)	320,1154
C₅⋊₃(C₂×C₄²⋊₂C₂) = C₂×C₄⋊C₄⋊D₅	φ: C₂×C₄²⋊₂C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C2xC4^2:2C2)	320,1184
C₅⋊₄(C₂×C₄²⋊₂C₂) = D₅×C₄²⋊₂C₂	φ: C₂×C₄²⋊₂C₂/C₄²⋊₂C₂ → C₂ ⊆ Aut C₅	80		C5:4(C2xC4^2:2C2)	320,1375

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