Extensions 1→N→G→Q→1 with N=C₃xC₃²:C₆ and Q=C₃

Direct product G=NxQ with N=C₃xC₃²:C₆ and Q=C₃

		d	ρ	Label	ID
C₃²xC₃²:C₆		54		C3^2xC3^2:C6	486,222

Semidirect products G=N:Q with N=C₃xC₃²:C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃²:C₆):C₃ = C₃⁴:C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃xC₃²:C₆	18	6	(C3xC3^2:C6):C3	486,102

Non-split extensions G=N.Q with N=C₃xC₃²:C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃²:C₆).C₃ = C₉:He₃:C₂	φ: C₃/C₁ → C₃ ⊆ Out C₃xC₃²:C₆	54	6	(C3xC3^2:C6).C3	486,107
(C₃xC₃²:C₆).₂C₃ = C₉xC₃²:C₆	φ: trivial image	54	6	(C3xC3^2:C6).2C3	486,98

Extensions 1→N→G→Q→1 with N=C3xC32:C6 and Q=C3