Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₂Q₈

Direct product G=N×Q with N=C₅ and Q=D₄⋊₂Q₈

		d	ρ	Label	ID
C₅×D₄⋊₂Q₈		160		C5xD4:2Q8	320,977

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₂Q₈) = D₄⋊Dic₁₀	φ: D₄⋊₂Q₈/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(D4:2Q8)	320,388
C₅⋊₂(D₄⋊₂Q₈) = D₂₀⋊₃Q₈	φ: D₄⋊₂Q₈/C₄⋊C₈ → C₂ ⊆ Aut C₅	160		C5:2(D4:2Q8)	320,469
C₅⋊₃(D₄⋊₂Q₈) = D₂₀⋊Q₈	φ: D₄⋊₂Q₈/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:3(D4:2Q8)	320,497
C₅⋊₄(D₄⋊₂Q₈) = C₂₀.₃₈SD₁₆	φ: D₄⋊₂Q₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:4(D4:2Q8)	320,635
C₅⋊₅(D₄⋊₂Q₈) = D₂₀⋊₅Q₈	φ: D₄⋊₂Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:5(D4:2Q8)	320,711

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