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

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

		d	ρ	Label	ID
C₂⁴×D₁₅		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 = C₂²×C₅⋊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 = C₂²×C₁₅⋊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 = C₂×A₄⋊Dic₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂⁴	120		C2^4.D15	480,1033
C₂⁴.₂D₁₅ = C₂×C₃₀.₃₈D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4.2D15	480,917
C₂⁴.₃D₁₅ = C₂³×Dic₁₅	central extension (φ=1)	480		C2^4.3D15	480,1178

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