Extensions 1→N→G→Q→1 with N=C₁₅ and Q=D₅

Direct product G=N×Q with N=C₁₅ and Q=D₅

		d	ρ	Label	ID
D₅×C₁₅		30	2	D5xC15	150,8

Semidirect products G=N:Q with N=C₁₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁D₅ = C₅⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₅	75		C15:1D5	150,12
C₁₅⋊₂D₅ = C₃×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₅	75		C15:2D5	150,9
C₁₅⋊₃D₅ = C₅×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₅	30	2	C15:3D5	150,11

Non-split extensions G=N.Q with N=C₁₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁D₅ = D₇₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₅	75	2+	C15.1D5	150,3
C₁₅.₂D₅ = C₃×D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₅	75	2	C15.2D5	150,2

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Extensions 1→N→G→Q→1 with N=C15 and Q=D5