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		160		C5xC2^2.D8	320,981

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) = C₂².D₄₀	φ: C₂².D₈/C₂²⋊C₈ → C₂ ⊆ Aut C₅	160		C5:1(C2^2.D8)	320,363
C₅⋊₂(C₂².D₈) = D₁₀.₁₂D₈	φ: C₂².D₈/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2^2.D8)	320,401
C₅⋊₃(C₂².D₈) = D₁₀.₁₃D₈	φ: C₂².D₈/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^2.D8)	320,509
C₅⋊₄(C₂².D₈) = (C₂×C₁₀).₄₀D₈	φ: C₂².D₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(C2^2.D8)	320,594
C₅⋊₅(C₂².D₈) = (C₂×C₁₀).D₈	φ: C₂².D₈/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:5(C2^2.D8)	320,660

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