Extensions 1→N→G→Q→1 with N=C₃² and Q=C₁₃:C₃

Direct product G=NxQ with N=C₃² and Q=C₁₃:C₃

		d	ρ	Label	ID
C₃²xC₁₃:C₃		117		C3^2xC13:C3	351,13

Semidirect products G=N:Q with N=C₃² and Q=C₁₃:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₁₃:C₃) = C₁₃:He₃	φ: C₁₃:C₃/C₁₃ → C₃ ⊆ Aut C₃²	117	3	C3^2:(C13:C3)	351,8

Non-split extensions G=N.Q with N=C₃² and Q=C₁₃:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₁₃:C₃) = C₃₉.C₃²	φ: C₁₃:C₃/C₁₃ → C₃ ⊆ Aut C₃²	117	3	C3^2.(C13:C3)	351,7
C₃².₂(C₁₃:C₃) = C₃xC₁₃:C₉	central extension (φ=1)	351		C3^2.2(C13:C3)	351,6

Extensions 1→N→G→Q→1 with N=C32 and Q=C13:C3