Extensions 1→N→G→Q→1 with N=C₅ and Q=(C₂²×C₈)⋊C₂

Direct product G=N×Q with N=C₅ and Q=(C₂²×C₈)⋊C₂

		d	ρ	Label	ID
C₅×(C₂²×C₈)⋊C₂		160		C5x(C2^2xC8):C2	320,909

Semidirect products G=N:Q with N=C₅ and Q=(C₂²×C₈)⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁((C₂²×C₈)⋊C₂) = (C₂×D₄).₇F₅	φ: (C₂²×C₈)⋊C₂/C₂×D₄ → C₄ ⊆ Aut C₅	160		C5:1((C2^2xC8):C2)	320,1113
C₅⋊₂((C₂²×C₈)⋊C₂) = (C₂×D₄).₈F₅	φ: (C₂²×C₈)⋊C₂/C₂×D₄ → C₄ ⊆ Aut C₅	160		C5:2((C2^2xC8):C2)	320,1114
C₅⋊₃((C₂²×C₈)⋊C₂) = (C₂×Q₈).₅F₅	φ: (C₂²×C₈)⋊C₂/C₂×Q₈ → C₄ ⊆ Aut C₅	160		C5:3((C2^2xC8):C2)	320,1125
C₅⋊₄((C₂²×C₈)⋊C₂) = C₂²⋊C₈⋊D₅	φ: (C₂²×C₈)⋊C₂/C₂²⋊C₈ → C₂ ⊆ Aut C₅	160		C5:4((C2^2xC8):C2)	320,354
C₅⋊₅((C₂²×C₈)⋊C₂) = (C₂²×C₈)⋊D₅	φ: (C₂²×C₈)⋊C₂/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:5((C2^2xC8):C2)	320,737
C₅⋊₆((C₂²×C₈)⋊C₂) = C₄.₈₉(C₂×D₂₀)	φ: (C₂²×C₈)⋊C₂/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:6((C2^2xC8):C2)	320,756
C₅⋊₇((C₂²×C₈)⋊C₂) = (D₄×C₁₀).₂₄C₄	φ: (C₂²×C₈)⋊C₂/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:7((C2^2xC8):C2)	320,861

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