Extensions 1→N→G→Q→1 with N=C₃×C₁₅ and Q=C₁₀

Direct product G=N×Q with N=C₃×C₁₅ and Q=C₁₀

		d	ρ	Label	ID
C₁₅×C₃₀		450		C15xC30	450,34

Semidirect products G=N:Q with N=C₃×C₁₅ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅)⋊₁C₁₀ = C₅×C₃⋊D₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₅	90		(C3xC15):1C10	450,32
(C₃×C₁₅)⋊₂C₁₀ = C₁₅×D₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₅	30	2	(C3xC15):2C10	450,29
(C₃×C₁₅)⋊₃C₁₀ = D₅×C₃×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₅	90		(C3xC15):3C10	450,26
(C₃×C₁₅)⋊₄C₁₀ = S₃×C₅×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₅	150		(C3xC15):4C10	450,28
(C₃×C₁₅)⋊₅C₁₀ = C₃⋊S₃×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₅	225		(C3xC15):5C10	450,31

Non-split extensions G=N.Q with N=C₃×C₁₅ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅).₁C₁₀ = S₃×C₇₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₅	150	2	(C3xC15).1C10	450,6
(C₃×C₁₅).₂C₁₀ = C₃⋊S₃×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₅	225		(C3xC15).2C10	450,8

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