Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=C₁₀

Direct product G=N×Q with N=C₄○D₈ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄○D₈		160		C10xC4oD8	320,1574

Semidirect products G=N:Q with N=C₄○D₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁C₁₀ = C₅×C₄○D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	160	2	C4oD8:1C10	320,1009
C₄○D₈⋊₂C₁₀ = C₅×C₁₆⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8:2C10	320,1010
C₄○D₈⋊₃C₁₀ = C₅×D₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8:3C10	320,1577
C₄○D₈⋊₄C₁₀ = C₅×D₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8:4C10	320,1578
C₄○D₈⋊₅C₁₀ = C₅×D₄○SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8:5C10	320,1579
C₄○D₈⋊₆C₁₀ = C₅×Q₈○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	160	4	C4oD8:6C10	320,1580

Non-split extensions G=N.Q with N=C₄○D₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁C₁₀ = C₅×D₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	160	2	C4oD8.1C10	320,164
C₄○D₈.₂C₁₀ = C₅×D₈⋊₂C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8.2C10	320,165
C₄○D₈.₃C₁₀ = C₅×C₈.₂₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8.3C10	320,945
C₄○D₈.₄C₁₀ = C₅×Q₃₂⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₈	160	4	C4oD8.4C10	320,1011
C₄○D₈.₅C₁₀ = C₅×C₈○D₈	φ: trivial image	80	2	C4oD8.5C10	320,944

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