Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₃₀

Direct product G=N×Q with N=C₃ and Q=C₃×C₃₀

		d	ρ	Label	ID
C₃²×C₃₀		270		C3^2xC30	270,30

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₃₀) = S₃×C₃×C₁₅	φ: C₃×C₃₀/C₃×C₁₅ → C₂ ⊆ Aut C₃	90		C3:(C3xC30)	270,24

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₃₀) = C₁₀×He₃	central stem extension (φ=1)	90	3	C3.1(C3xC30)	270,21
C₃.₂(C₃×C₃₀) = C₁₀×3_-¹⁺²	central stem extension (φ=1)	90	3	C3.2(C3xC30)	270,22

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C30