Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=C₁₀

Direct product G=N×Q with N=C₈○D₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₈○D₄		160		C10xC8oD4	320,1569

Semidirect products G=N:Q with N=C₈○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁C₁₀ = C₅×D₄.₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:1C10	320,972
C₈○D₄⋊₂C₁₀ = C₅×D₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:2C10	320,973
C₈○D₄⋊₃C₁₀ = C₅×D₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:3C10	320,1578
C₈○D₄⋊₄C₁₀ = C₅×D₄○SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:4C10	320,1579
C₈○D₄⋊₅C₁₀ = C₅×Q₈○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	160	4	C8oD4:5C10	320,1580
C₈○D₄⋊₆C₁₀ = C₅×C₈○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	80	2	C8oD4:6C10	320,944
C₈○D₄⋊₇C₁₀ = C₅×C₈.₂₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:7C10	320,945
C₈○D₄⋊₈C₁₀ = C₅×Q₈○M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:8C10	320,1570

Non-split extensions G=N.Q with N=C₈○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.₁C₁₀ = C₅×D₄.₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	160	4	C8oD4.1C10	320,974
C₈○D₄.₂C₁₀ = C₅×D₄.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈○D₄	160	2	C8oD4.2C10	320,155
C₈○D₄.₃C₁₀ = C₅×D₄○C₁₆	φ: trivial image	160	2	C8oD4.3C10	320,1005

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