Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₆

Direct product G=N×Q with N=C₁₅ and Q=C₆

		d	ρ	Label	ID
C₃×C₃₀		90		C3xC30	90,10

Semidirect products G=N:Q with N=C₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁C₆ = C₃×D₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₁₅	30	2	C15:1C6	90,7
C₁₅⋊₂C₆ = C₃²×D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₁₅	45		C15:2C6	90,5
C₁₅⋊₃C₆ = S₃×C₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₁₅	30	2	C15:3C6	90,6

Non-split extensions G=N.Q with N=C₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.C₆ = C₉×D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₁₅	45	2	C15.C6	90,2

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Extensions 1→N→G→Q→1 with N=C15 and Q=C6