Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=C₁₀

Direct product G=N×Q with N=C₂⁵ and Q=C₁₀

		d	ρ	Label	ID
C₂⁵×C₁₀		320		C2^5xC10	320,1640

Semidirect products G=N:Q with N=C₂⁵ and Q=C₁₀

extension	φ:Q→Aut N	d	Label	ID
C₂⁵⋊C₁₀ = C₂²×C₂⁴⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₂⁵	20	C2^5:C10	320,1637
C₂⁵⋊₂C₁₀ = C₁₀×C₂²≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂⁵	80	C2^5:2C10	320,1523
C₂⁵⋊₃C₁₀ = D₄×C₂²×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂⁵	160	C2^5:3C10	320,1629

Non-split extensions G=N.Q with N=C₂⁵ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵.C₁₀ = C₄×C₂⁴⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₂⁵	20	5	C2^5.C10	320,1584
C₂⁵.₂C₁₀ = C₅×C₂⁴⋊₃C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂⁵	80		C2^5.2C10	320,880
C₂⁵.₃C₁₀ = C₂²⋊C₄×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂⁵	160		C2^5.3C10	320,1514

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C25 and Q=C10