Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²xDic₃

Direct product G=NxQ with N=C₃ and Q=C₃²xDic₃

		d	ρ	Label	ID
Dic₃xC₃³		108		Dic3xC3^3	324,155

Semidirect products G=N:Q with N=C₃ and Q=C₃²xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃²xDic₃) = C₃²xC₃:Dic₃	φ: C₃²xDic₃/C₃²xC₆ → C₂ ⊆ Aut C₃	36		C3:(C3^2xDic3)	324,156

Non-split extensions G=N.Q with N=C₃ and Q=C₃²xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²xDic₃) = C₃²xDic₉	φ: C₃²xDic₃/C₃²xC₆ → C₂ ⊆ Aut C₃	108		C3.1(C3^2xDic3)	324,90
C₃.₂(C₃²xDic₃) = C₃xC₃²:C₁₂	φ: C₃²xDic₃/C₃²xC₆ → C₂ ⊆ Aut C₃	36	6	C3.2(C3^2xDic3)	324,92
C₃.₃(C₃²xDic₃) = C₃xC₉:C₁₂	φ: C₃²xDic₃/C₃²xC₆ → C₂ ⊆ Aut C₃	36	6	C3.3(C3^2xDic3)	324,94
C₃.₄(C₃²xDic₃) = Dic₃xC₃xC₉	central extension (φ=1)	108		C3.4(C3^2xDic3)	324,91
C₃.₅(C₃²xDic₃) = Dic₃xHe₃	central stem extension (φ=1)	36	6	C3.5(C3^2xDic3)	324,93
C₃.₆(C₃²xDic₃) = Dic₃x3_-¹⁺²	central stem extension (φ=1)	36	6	C3.6(C3^2xDic3)	324,95

׿

x

:

Z

F

o

wr

Q

<