Generators and Representations for G = L₃(7)

Standard generators

• Standard generators of L3(7) are a and b where a has order 2, b has order 3, ab has order 19, and ababb has order 6. (Source: ATLAS)
• Standard generators of 3.L3(7) are preimages A and B where A has order 2 and AB has order 19. (Source: ATLAS)

BBOX programs

• Finder for L₃(7)
• Checker for L₃(7)
• CCL rep tester for L₃(7)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L3(7)	56	+	56	χ2	Z			97%	1	13.5	perm rep on 57 pts
L3(7)	57	+	57	χ3	Z			98%	1	13.9	perm rep on 114 pts
L3(7)	152	+	152(a)	χ4	Z			65%	270	113.2	perm rep on 1197 pts
			152(b)	χ5	Z			66%	233	112.0	perm rep on 1197 pts
			152(c)	χ6	Z			64%	266	113.9	perm rep on 1197 pts
3.L3(7)	57	o	No representations available
3.L3(7)	96	o	No representations available

Last generated on Sat Sep 24 18:53:02 2005