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

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

		d	ρ	Label	ID
C₁₀×C₂²⋊C₈		160		C10xC2^2:C8	320,907

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₂²⋊C₈) = C₂×D₁₀⋊C₈	φ: C₂×C₂²⋊C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:1(C2xC2^2:C8)	320,1089
C₅⋊₂(C₂×C₂²⋊C₈) = D₁₀.₁₁M₄(2)	φ: C₂×C₂²⋊C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:2(C2xC2^2:C8)	320,1091
C₅⋊₃(C₂×C₂²⋊C₈) = C₂×C₂³.₂F₅	φ: C₂×C₂²⋊C₈/C₂⁴ → C₄ ⊆ Aut C₅	160		C5:3(C2xC2^2:C8)	320,1135
C₅⋊₄(C₂×C₂²⋊C₈) = D₅×C₂²⋊C₈	φ: C₂×C₂²⋊C₈/C₂²⋊C₈ → C₂ ⊆ Aut C₅	80		C5:4(C2xC2^2:C8)	320,351
C₅⋊₅(C₂×C₂²⋊C₈) = C₂×D₁₀⋊₁C₈	φ: C₂×C₂²⋊C₈/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:5(C2xC2^2:C8)	320,735
C₅⋊₆(C₂×C₂²⋊C₈) = C₂×C₂₀.₅₅D₄	φ: C₂×C₂²⋊C₈/C₂³×C₄ → C₂ ⊆ Aut C₅	160		C5:6(C2xC2^2:C8)	320,833

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