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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×C₁₀) = C₅×S₃²	φ: S₃×C₁₀/C₅×S₃ → C₂ ⊆ Aut C₃	30	4	C3:1(S3xC10)	180,28
C₃⋊₂(S₃×C₁₀) = C₁₀×C₃⋊S₃	φ: S₃×C₁₀/C₃₀ → C₂ ⊆ Aut C₃	90		C3:2(S3xC10)	180,35

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₁₀) = C₁₀×D₉	φ: S₃×C₁₀/C₃₀ → C₂ ⊆ Aut C₃	90	2	C3.(S3xC10)	180,10

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