Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₁₅

Direct product G=NxQ with N=C₂⁴ and Q=D₁₅

		d	ρ	Label	ID
C₂⁴xD₁₅		240		C2^4xD15	480,1212

Semidirect products G=N:Q with N=C₂⁴ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴:D₁₅ = C₂⁴:D₁₅	φ: D₁₅/C₃ → D₅ ⊆ Aut C₂⁴	30	10+	C2^4:D15	480,1195
C₂⁴:₂D₁₅ = C₂⁴:₂D₁₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂⁴	60	6	C2^4:2D15	480,1034
C₂⁴:₃D₁₅ = C₂²xC₅:S₄	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂⁴	60		C2^4:3D15	480,1199
C₂⁴:₄D₁₅ = C₂⁴:₄D₁₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂⁴	40	6	C2^4:4D15	480,1201
C₂⁴:₅D₁₅ = C₂⁴:₅D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂⁴	120		C2^4:5D15	480,918
C₂⁴:₆D₁₅ = C₂²xC₁₅:₇D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4:6D15	480,1179

Non-split extensions G=N.Q with N=C₂⁴ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.D₁₅ = C₂xA₄:Dic₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂⁴	120		C2^4.D15	480,1033
C₂⁴.₂D₁₅ = C₂xC₃₀.₃₈D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4.2D15	480,917
C₂⁴.₃D₁₅ = C₂³xDic₁₅	central extension (φ=1)	480		C2^4.3D15	480,1178

׿

x

:

Z

F

o

wr

Q

<