Extensions 1→N→G→Q→1 with N=C₃² and Q=Dic₃

Direct product G=NxQ with N=C₃² and Q=Dic₃

		d	ρ	Label	ID
C₃²xDic₃		36		C3^2xDic3	108,32

Semidirect products G=N:Q with N=C₃² and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁Dic₃ = C₃²:C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃²	36	6-	C3^2:1Dic3	108,8
C₃²:₂Dic₃ = He₃:₃C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃²	36	3	C3^2:2Dic3	108,11
C₃²:₃Dic₃ = C₃³:C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃²	12	4	C3^2:3Dic3	108,37
C₃²:₄Dic₃ = C₃xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃²	36		C3^2:4Dic3	108,33
C₃²:₅Dic₃ = C₃³:₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃²	108		C3^2:5Dic3	108,34

Non-split extensions G=N.Q with N=C₃² and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².Dic₃ = C₉:C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Aut C₃²	36	6-	C3^2.Dic3	108,9
C₃².₂Dic₃ = C₃xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃²	36	2	C3^2.2Dic3	108,6
C₃².₃Dic₃ = C₉:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃²	108		C3^2.3Dic3	108,10

׿

x

:

Z

F

o

wr

Q

<