Generators and Representations for G = L₅(2)

Standard generators

• Standard generators of L₅(2) are a and b where a is in class 2A, b has order 5 and ab has order 21. (Source: ATLAS)

BBOX programs

• Checker for L₅(2)
• CCL rep tester for L₅(2)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L5(2)	30	+	30	χ2	Z			95%	1	4.1	perm rep on 31 pts
L5(2)	124	+	124	χ3	Z			97%	2	63.7	perm rep on 155 pts
L5(2)	155	+	155	χ4	Z			99%	1	98.9	induce linear character of 2^6:(S3xL3(2))
L5(2)	217	+	217	χ5	Z			99%	1	193.4	perm rep on 248 pts

Last generated on Sat Sep 24 18:53:04 2005