Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₁₅

Direct product G=N×Q with N=C₂⁴ and Q=C₁₅

		d	ρ	Label	ID
C₂³×C₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₂⁴ and Q=C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊C₁₅ = F₁₆	φ: C₁₅/C₁ → C₁₅ ⊆ Aut C₂⁴	16	15+	C2^4:C15	240,191
C₂⁴⋊₂C₁₅ = C₃×C₂⁴⋊C₅	φ: C₁₅/C₃ → C₅ ⊆ Aut C₂⁴	30	5	C2^4:2C15	240,199
C₂⁴⋊₃C₁₅ = A₄×C₂×C₁₀	φ: C₁₅/C₅ → C₃ ⊆ Aut C₂⁴	60		C2^4:3C15	240,203
C₂⁴⋊₄C₁₅ = C₅×C₂²⋊A₄	φ: C₁₅/C₅ → C₃ ⊆ Aut C₂⁴	60		C2^4:4C15	240,204

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁