Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²⋊D₈

Direct product G=N×Q with N=C₅ and Q=C₂²⋊D₈

		d	ρ	Label	ID
C₅×C₂²⋊D₈		80		C5xC2^2:D8	320,948

Semidirect products G=N:Q with N=C₅ and Q=C₂²⋊D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²⋊D₈) = D₂₀⋊₁₃D₄	φ: C₂²⋊D₈/C₂²⋊C₈ → C₂ ⊆ Aut C₅	80		C5:1(C2^2:D8)	320,359
C₅⋊₂(C₂²⋊D₈) = D₄⋊D₂₀	φ: C₂²⋊D₈/D₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^2:D8)	320,400
C₅⋊₃(C₂²⋊D₈) = D₂₀⋊₁₆D₄	φ: C₂²⋊D₈/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:3(C2^2:D8)	320,663
C₅⋊₄(C₂²⋊D₈) = D₂₀⋊D₄	φ: C₂²⋊D₈/C₂×D₈ → C₂ ⊆ Aut C₅	80		C5:4(C2^2:D8)	320,783
C₅⋊₅(C₂²⋊D₈) = (C₂×C₁₀)⋊₈D₈	φ: C₂²⋊D₈/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2^2:D8)	320,844

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