Extensions 1→N→G→Q→1 with N=C₁₅ and Q=D₁₀

Direct product G=N×Q with N=C₁₅ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₃₀		60	2	D5xC30	300,44

Semidirect products G=N:Q with N=C₁₅ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁D₁₀ = S₃×C₅⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₅	75		C15:1D10	300,38
C₁₅⋊₂D₁₀ = D₁₅⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₅	30	4	C15:2D10	300,40
C₁₅⋊₃D₁₀ = D₅×D₁₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₅	30	4+	C15:3D10	300,39
C₁₅⋊₄D₁₀ = C₃×D₅²	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₅	30	4	C15:4D10	300,36
C₁₅⋊₅D₁₀ = C₅×S₃×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₅	30	4	C15:5D10	300,37
C₁₅⋊₆D₁₀ = C₂×C₅⋊D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	150		C15:6D10	300,48
C₁₅⋊₇D₁₀ = C₆×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	150		C15:7D10	300,45
C₁₅⋊₈D₁₀ = C₁₀×D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	60	2	C15:8D10	300,47

Non-split extensions G=N.Q with N=C₁₅ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.D₁₀ = S₃×D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₅	75	4+	C15.D10	300,7
C₁₅.₂D₁₀ = D₁₅₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	150	2+	C15.2D10	300,11
C₁₅.₃D₁₀ = C₆×D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	150	2	C15.3D10	300,9

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