Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₃₀

Direct product G=NxQ with N=C₃ and Q=C₃xC₃₀

		d	ρ	Label	ID
C₃²xC₃₀		270		C3^2xC30	270,30

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃xC₃₀) = S₃xC₃xC₁₅	φ: C₃xC₃₀/C₃xC₁₅ → C₂ ⊆ Aut C₃	90		C3:(C3xC30)	270,24

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₃₀) = C₁₀xHe₃	central stem extension (φ=1)	90	3	C3.1(C3xC30)	270,21
C₃.₂(C₃xC₃₀) = C₁₀x3_-¹⁺²	central stem extension (φ=1)	90	3	C3.2(C3xC30)	270,22

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC30