Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃:Dic₃

Direct product G=NxQ with N=C₃ and Q=Dic₃:Dic₃

		d	ρ	Label	ID
C₃xDic₃:Dic₃		48		C3xDic3:Dic3	432,428

Semidirect products G=N:Q with N=C₃ and Q=Dic₃:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(Dic₃:Dic₃) = C₆².₈₀D₆	φ: Dic₃:Dic₃/C₆xDic₃ → C₂ ⊆ Aut C₃	144		C3:1(Dic3:Dic3)	432,452
C₃:₂(Dic₃:Dic₃) = C₆².₈₂D₆	φ: Dic₃:Dic₃/C₆xDic₃ → C₂ ⊆ Aut C₃	144		C3:2(Dic3:Dic3)	432,454
C₃:₃(Dic₃:Dic₃) = C₆².₈₅D₆	φ: Dic₃:Dic₃/C₂xC₃:Dic₃ → C₂ ⊆ Aut C₃	48		C3:3(Dic3:Dic3)	432,462

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃:Dic₃) = Dic₉:Dic₃	φ: Dic₃:Dic₃/C₆xDic₃ → C₂ ⊆ Aut C₃	144		C3.1(Dic3:Dic3)	432,88
C₃.₂(Dic₃:Dic₃) = Dic₃:Dic₉	φ: Dic₃:Dic₃/C₆xDic₃ → C₂ ⊆ Aut C₃	144		C3.2(Dic3:Dic3)	432,90
C₃.₃(Dic₃:Dic₃) = C₆².D₆	φ: Dic₃:Dic₃/C₂xC₃:Dic₃ → C₂ ⊆ Aut C₃	144		C3.3(Dic3:Dic3)	432,95

׿

x

:

Z

F

o

wr

Q

<