Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂×C₁₀

Direct product G=N×Q with N=D₈ and Q=C₂×C₁₀

		d	ρ	Label	ID
D₈×C₂×C₁₀		160		D8xC2xC10	320,1571

Semidirect products G=N:Q with N=D₈ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁(C₂×C₁₀) = C₁₀×D₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	160		D8:1(C2xC10)	320,1006
D₈⋊₂(C₂×C₁₀) = C₅×C₁₆⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:2(C2xC10)	320,1010
D₈⋊₃(C₂×C₁₀) = C₁₀×C₈⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	80		D8:3(C2xC10)	320,1575
D₈⋊₄(C₂×C₁₀) = C₅×D₈⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:4(C2xC10)	320,1577
D₈⋊₅(C₂×C₁₀) = C₅×D₄○SD₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:5(C2xC10)	320,1579
D₈⋊₆(C₂×C₁₀) = C₁₀×C₄○D₈	φ: trivial image	160		D8:6(C2xC10)	320,1574
D₈⋊₇(C₂×C₁₀) = C₅×D₄○D₈	φ: trivial image	80	4	D8:7(C2xC10)	320,1578

Non-split extensions G=N.Q with N=D₈ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁(C₂×C₁₀) = C₁₀×SD₃₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	160		D8.1(C2xC10)	320,1007
D₈.₂(C₂×C₁₀) = C₅×C₄○D₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	160	2	D8.2(C2xC10)	320,1009
D₈.₃(C₂×C₁₀) = C₅×Q₃₂⋊C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₈	160	4	D8.3(C2xC10)	320,1011
D₈.₄(C₂×C₁₀) = C₅×Q₈○D₈	φ: trivial image	160	4	D8.4(C2xC10)	320,1580

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