Extensions 1→N→G→Q→1 with N=C₈⋊C₂² and Q=C₁₀

Direct product G=N×Q with N=C₈⋊C₂² and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₈⋊C₂²		80		C10xC8:C2^2	320,1575

Semidirect products G=N:Q with N=C₈⋊C₂² and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂²⋊₁C₁₀ = C₅×D₄⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₂²	40	4	C8:C2^2:1C10	320,954
C₈⋊C₂²⋊₂C₁₀ = C₅×D₄.₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	4	C8:C2^2:2C10	320,955
C₈⋊C₂²⋊₃C₁₀ = C₅×D₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	4	C8:C2^2:3C10	320,973
C₈⋊C₂²⋊₄C₁₀ = C₅×D₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	4	C8:C2^2:4C10	320,1578
C₈⋊C₂²⋊₅C₁₀ = C₅×D₄○SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	4	C8:C2^2:5C10	320,1579
C₈⋊C₂²⋊₆C₁₀ = C₅×D₈⋊C₂²	φ: trivial image	80	4	C8:C2^2:6C10	320,1577

Non-split extensions G=N.Q with N=C₈⋊C₂² and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂².C₁₀ = C₅×D₄.₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	4	C8:C2^2.C10	320,972

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