Extensions 1→N→G→Q→1 with N=C₈⋊C₄ and Q=C₁₀

Direct product G=N×Q with N=C₈⋊C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₈⋊C₄		320		C10xC8:C4	320,904

Semidirect products G=N:Q with N=C₈⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄⋊₁C₁₀ = C₅×SD₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:1C10	320,941
C₈⋊C₄⋊₂C₁₀ = C₅×D₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:2C10	320,943
C₈⋊C₄⋊₃C₁₀ = C₅×C₈.₂₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	80	4	C8:C4:3C10	320,945
C₈⋊C₄⋊₄C₁₀ = C₅×C₈⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:4C10	320,997
C₈⋊C₄⋊₅C₁₀ = C₅×C₈.₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:5C10	320,998
C₈⋊C₄⋊₆C₁₀ = C₅×C₄².C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:6C10	320,134
C₈⋊C₄⋊₇C₁₀ = C₅×C₄².₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:7C10	320,933
C₈⋊C₄⋊₈C₁₀ = C₅×C₄².₇C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:8C10	320,934
C₈⋊C₄⋊₉C₁₀ = C₅×C₈⋊₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:9C10	320,936
C₈⋊C₄⋊₁₀C₁₀ = C₅×C₄².₂₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:10C10	320,990
C₈⋊C₄⋊₁₁C₁₀ = C₅×C₄².₂₉C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	160		C8:C4:11C10	320,991
C₈⋊C₄⋊₁₂C₁₀ = M₄(2)×C₂₀	φ: trivial image	160		C8:C4:12C10	320,905
C₈⋊C₄⋊₁₃C₁₀ = C₅×C₈○₂M₄(2)	φ: trivial image	160		C8:C4:13C10	320,906

Non-split extensions G=N.Q with N=C₈⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄.₁C₁₀ = C₅×Q₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.1C10	320,942
C₈⋊C₄.₂C₁₀ = C₅×C₈⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.2C10	320,1002
C₈⋊C₄.₃C₁₀ = C₅×C₄².₂C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.3C10	320,135
C₈⋊C₄.₄C₁₀ = C₅×C₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	80	4	C8:C4.4C10	320,152
C₈⋊C₄.₅C₁₀ = C₅×C₈⋊₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.5C10	320,947
C₈⋊C₄.₆C₁₀ = C₅×C₄².₃₀C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₄	320		C8:C4.6C10	320,992

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