Extensions 1→N→G→Q→1 with N=C₃:S₃ and Q=C₂xC₈

Direct product G=NxQ with N=C₃:S₃ and Q=C₂xC₈

		d	ρ	Label	ID
C₂xC₈xC₃:S₃		144		C2xC8xC3:S3	288,756

Semidirect products G=N:Q with N=C₃:S₃ and Q=C₂xC₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃:(C₂xC₈) = C₂²xF₉	φ: C₂xC₈/C₂² → C₄ ⊆ Out C₃:S₃	36		C3:S3:(C2xC8)	288,1030
C₃:S₃:₂(C₂xC₈) = S₃²xC₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out C₃:S₃	48	4	C3:S3:2(C2xC8)	288,437
C₃:S₃:₃(C₂xC₈) = C₂xC₁₂.₂₉D₆	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out C₃:S₃	48		C3:S3:3(C2xC8)	288,464
C₃:S₃:₄(C₂xC₈) = C₂xC₃:S₃:₃C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out C₃:S₃	48		C3:S3:4(C2xC8)	288,929

Non-split extensions G=N.Q with N=C₃:S₃ and Q=C₂xC₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃.₁(C₂xC₈) = C₄xF₉	φ: C₂xC₈/C₄ → C₄ ⊆ Out C₃:S₃	36	8	C3:S3.1(C2xC8)	288,863
C₃:S₃.₂(C₂xC₈) = S₃²:C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Out C₃:S₃	24	4	C3:S3.2(C2xC8)	288,374
C₃:S₃.₃(C₂xC₈) = C₃²:C₄:C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Out C₃:S₃	48	4	C3:S3.3(C2xC8)	288,380
C₃:S₃.₄(C₂xC₈) = C₄.₄PSU₃(F₂)	φ: C₂xC₈/C₄ → C₂² ⊆ Out C₃:S₃	48	8	C3:S3.4(C2xC8)	288,392
C₃:S₃.₅(C₂xC₈) = C₈xC₃²:C₄	φ: C₂xC₈/C₈ → C₂ ⊆ Out C₃:S₃	48	4	C3:S3.5(C2xC8)	288,414

׿

x

:

Z

F

o

wr

Q

<