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		160		C10xC8.C4	320,930

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×D₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	160	2	C8.C4:1C10	320,164
C₈.C₄⋊₂C₁₀ = C₅×M₅(2)⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:2C10	320,166
C₈.C₄⋊₃C₁₀ = C₅×M₄(2).C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:3C10	320,931
C₈.C₄⋊₄C₁₀ = C₅×C₈.₂₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:4C10	320,945
C₈.C₄⋊₅C₁₀ = C₅×D₄.₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:5C10	320,972
C₈.C₄⋊₆C₁₀ = C₅×D₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4:6C10	320,973
C₈.C₄⋊₇C₁₀ = C₅×D₄.₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	160	4	C8.C4:7C10	320,974
C₈.C₄⋊₈C₁₀ = C₅×C₈○D₈	φ: trivial image	80	2	C8.C4:8C10	320,944

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×C₈.₁₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	160	4	C8.C4.1C10	320,167
C₈.C₄.₂C₁₀ = C₅×C₈.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	80	4	C8.C4.2C10	320,170
C₈.C₄.₃C₁₀ = C₅×C₈.₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈.C₄	160	2	C8.C4.3C10	320,173

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