Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×S₃

Direct product G=N×Q with N=C₁₀ and Q=C₃×S₃

		d	ρ	Label	ID
S₃×C₃₀		60	2	S3xC30	180,33

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃×S₃) = C₆×D₁₅	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₀	60	2	C10:(C3xS3)	180,34

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃×S₃) = C₃×Dic₁₅	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₀	60	2	C10.(C3xS3)	180,15
C₁₀.₂(C₃×S₃) = Dic₃×C₁₅	central extension (φ=1)	60	2	C10.2(C3xS3)	180,14

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Extensions 1→N→G→Q→1 with N=C10 and Q=C3×S3