Extensions 1→N→G→Q→1 with N=C₁₅ and Q=D₁₅

Direct product G=N×Q with N=C₁₅ and Q=D₁₅

		d	ρ	Label	ID
C₁₅×D₁₅		30	2	C15xD15	450,29

Semidirect products G=N:Q with N=C₁₅ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁D₁₅ = C₁₅⋊D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15:1D15	450,33
C₁₅⋊₂D₁₅ = C₃×C₅⋊D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	150		C15:2D15	450,30
C₁₅⋊₃D₁₅ = C₅×C₃⋊D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	90		C15:3D15	450,32

Non-split extensions G=N.Q with N=C₁₅ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁D₁₅ = D₂₂₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	225	2+	C15.1D15	450,3
C₁₅.₂D₁₅ = C₃⋊D₇₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.2D15	450,9
C₁₅.₃D₁₅ = C₅⋊D₄₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.3D15	450,18
C₁₅.₄D₁₅ = C₃×D₇₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	150	2	C15.4D15	450,7
C₁₅.₅D₁₅ = C₅×D₄₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₅	90	2	C15.5D15	450,17

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