Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂×C₁₀

Direct product G=N×Q with N=C₁₅ and Q=C₂×C₁₀

		d	ρ	Label	ID
C₁₀×C₃₀		300		C10xC30	300,49

Semidirect products G=N:Q with N=C₁₅ and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊(C₂×C₁₀) = C₅×S₃×D₅	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₁₅	30	4	C15:(C2xC10)	300,37
C₁₅⋊₂(C₂×C₁₀) = C₁₀×D₁₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	60	2	C15:2(C2xC10)	300,47
C₁₅⋊₃(C₂×C₁₀) = D₅×C₃₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	60	2	C15:3(C2xC10)	300,44
C₁₅⋊₄(C₂×C₁₀) = S₃×C₅×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	150		C15:4(C2xC10)	300,46

Non-split extensions G=N.Q with N=C₁₅ and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.(C₂×C₁₀) = S₃×C₅₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₅	150	2	C15.(C2xC10)	300,10

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Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C10