Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xCSU₂(F₃)

Direct product G=NxQ with N=C₃ and Q=C₃xCSU₂(F₃)

		d	ρ	Label	ID
C₃²xCSU₂(F₃)		144		C3^2xCSU(2,3)	432,613

Semidirect products G=N:Q with N=C₃ and Q=C₃xCSU₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃xCSU₂(F₃)) = C₃xC₆.₅S₄	φ: C₃xCSU₂(F₃)/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	48	4	C3:(C3xCSU(2,3))	432,616

Non-split extensions G=N.Q with N=C₃ and Q=C₃xCSU₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xCSU₂(F₃)) = C₃².CSU₂(F₃)	φ: C₃xCSU₂(F₃)/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	144	12-	C3.1(C3xCSU(2,3))	432,243
C₃.₂(C₃xCSU₂(F₃)) = C₃xQ₈.D₉	φ: C₃xCSU₂(F₃)/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	144	4	C3.2(C3xCSU(2,3))	432,244
C₃.₃(C₃xCSU₂(F₃)) = C₃²:CSU₂(F₃)	φ: C₃xCSU₂(F₃)/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	144	12-	C3.3(C3xCSU(2,3))	432,247
C₃.₄(C₃xCSU₂(F₃)) = C₉xCSU₂(F₃)	central extension (φ=1)	144	2	C3.4(C3xCSU(2,3))	432,240

׿

x

:

Z

F

o

wr

Q

<