Extensions 1→N→G→Q→1 with N=C₃² and Q=D₁₅

Direct product G=N×Q with N=C₃² and Q=D₁₅

		d	ρ	Label	ID
C₃²×D₁₅		90		C3^2xD15	270,25

Semidirect products G=N:Q with N=C₃² and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁D₁₅ = He₃⋊D₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₃²	45	6+	C3^2:1D15	270,14
C₃²⋊₂D₁₅ = C₃²⋊D₁₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₃²	45	6	C3^2:2D15	270,19
C₃²⋊₃D₁₅ = C₃×C₃⋊D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₃²	90		C3^2:3D15	270,27
C₃²⋊₄D₁₅ = C₃³⋊D₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₃²	135		C3^2:4D15	270,29

Non-split extensions G=N.Q with N=C₃² and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².D₁₅ = D₄₅⋊C₃	φ: D₁₅/C₅ → S₃ ⊆ Aut C₃²	45	6+	C3^2.D15	270,15
C₃².₂D₁₅ = C₃×D₄₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₃²	90	2	C3^2.2D15	270,12
C₃².₃D₁₅ = C₃⋊D₄₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₃²	135		C3^2.3D15	270,18

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