Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₅

Direct product G=N×Q with N=C₂³ and Q=D₁₅

		d	ρ	Label	ID
C₂³×D₁₅		120		C2^3xD15	240,207

Semidirect products G=N:Q with N=C₂³ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₁₅ = C₂×C₅⋊S₄	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂³	30	6+	C2^3:D15	240,197
C₂³⋊₂D₁₅ = C₂×C₁₅⋊₇D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂³	120		C2^3:2D15	240,184

Non-split extensions G=N.Q with N=C₂³ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₁₅ = A₄⋊Dic₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂³	60	6-	C2^3.D15	240,107
C₂³.₂D₁₅ = C₃₀.₃₈D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂³	120		C2^3.2D15	240,80
C₂³.₃D₁₅ = C₂²×Dic₁₅	central extension (φ=1)	240		C2^3.3D15	240,183

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Extensions 1→N→G→Q→1 with N=C23 and Q=D15