Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₁₀

Direct product G=N×Q with N=C₂⁴ and Q=C₁₀

		d	ρ	Label	ID
C₂⁴×C₁₀		160		C2^4xC10	160,238

Semidirect products G=N:Q with N=C₂⁴ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊C₁₀ = C₂×C₂⁴⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₂⁴	10	5+	C2^4:C10	160,235
C₂⁴⋊₂C₁₀ = C₅×C₂²≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂⁴	40		C2^4:2C10	160,181
C₂⁴⋊₃C₁₀ = D₄×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂⁴	80		C2^4:3C10	160,229

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.C₁₀ = C₁₀×C₂²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂⁴	80		C2^4.C10	160,176

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C24 and Q=C10