Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×D₅

Direct product G=N×Q with N=C₁₀ and Q=C₃×D₅

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

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃×D₅) = C₆×C₅⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₀	150		C10:(C3xD5)	300,45

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₃×D₅) = C₃×Dic₂₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₀	300	2	C10.1(C3xD5)	300,2
C₁₀.₂(C₃×D₅) = C₆×D₂₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₀	150	2	C10.2(C3xD5)	300,9
C₁₀.₃(C₃×D₅) = C₃×C₅²⋊₆C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₀	300		C10.3(C3xD5)	300,17
C₁₀.₄(C₃×D₅) = C₁₅×Dic₅	central extension (φ=1)	60	2	C10.4(C3xD5)	300,16

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Extensions 1→N→G→Q→1 with N=C10 and Q=C3×D5