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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊C₂⁴ = C₂²×S₃×D₅	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₁₅	60		C15:C2^4	240,202
C₁₅⋊₂C₂⁴ = C₂³×D₁₅	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₅	120		C15:2C2^4	240,207
C₁₅⋊₃C₂⁴ = D₅×C₂²×C₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₅	120		C15:3C2^4	240,205
C₁₅⋊₄C₂⁴ = S₃×C₂²×C₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₅	120		C15:4C2^4	240,206

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁