Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂xC₁₀

Direct product G=NxQ with N=D₈ and Q=C₂xC₁₀

		d	ρ	Label	ID
D₈xC₂xC₁₀		160		D8xC2xC10	320,1571

Semidirect products G=N:Q with N=D₈ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈:₁(C₂xC₁₀) = C₁₀xD₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	160		D8:1(C2xC10)	320,1006
D₈:₂(C₂xC₁₀) = C₅xC₁₆:C₂²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:2(C2xC10)	320,1010
D₈:₃(C₂xC₁₀) = C₁₀xC₈:C₂²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	80		D8:3(C2xC10)	320,1575
D₈:₄(C₂xC₁₀) = C₅xD₈:C₂²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:4(C2xC10)	320,1577
D₈:₅(C₂xC₁₀) = C₅xD₄oSD₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:5(C2xC10)	320,1579
D₈:₆(C₂xC₁₀) = C₁₀xC₄oD₈	φ: trivial image	160		D8:6(C2xC10)	320,1574
D₈:₇(C₂xC₁₀) = C₅xD₄oD₈	φ: trivial image	80	4	D8:7(C2xC10)	320,1578

Non-split extensions G=N.Q with N=D₈ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁(C₂xC₁₀) = C₁₀xSD₃₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	160		D8.1(C2xC10)	320,1007
D₈.₂(C₂xC₁₀) = C₅xC₄oD₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	160	2	D8.2(C2xC10)	320,1009
D₈.₃(C₂xC₁₀) = C₅xQ₃₂:C₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₈	160	4	D8.3(C2xC10)	320,1011
D₈.₄(C₂xC₁₀) = C₅xQ₈oD₈	φ: trivial image	160	4	D8.4(C2xC10)	320,1580

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