Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃.A₄

Direct product G=NxQ with N=C₃ and Q=Dic₃.A₄

		d	ρ	Label	ID
C₃xDic₃.A₄		48	4	C3xDic3.A4	432,622

Semidirect products G=N:Q with N=C₃ and Q=Dic₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(Dic₃.A₄) = C₃:Dic₃.₂A₄	φ: Dic₃.A₄/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	144		C3:(Dic3.A4)	432,625

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃.A₄) = Dic₉.A₄	φ: Dic₃.A₄/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	144	12+	C3.1(Dic3.A4)	432,261
C₃.₂(Dic₃.A₄) = Dic₉.₂A₄	φ: Dic₃.A₄/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	144	4+	C3.2(Dic3.A4)	432,262
C₃.₃(Dic₃.A₄) = C₆.(S₃xA₄)	φ: Dic₃.A₄/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	72	12+	C3.3(Dic3.A4)	432,269
C₃.₄(Dic₃.A₄) = Q₈:C₉:₃S₃	central extension (φ=1)	144	4	C3.4(Dic3.A4)	432,267

׿

x

:

Z

F

o

wr

Q

<