Generators and Representations for G = S₈(2)

Standard generators

• Standard generators of S₈(2) are a and b where a is in class 2B, b is in class 5B, ab has order 17 and abb has order 21. (Source: ATLAS)

BBOX programs

• Checker for S₈(2)
• CCL rep tester for S₈(2)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
S8(2)	35	+	35	χ2	Z			87%	3	5.8	perm rep on 240 pts
S8(2)	51	+	51	χ3	Z			92%	2	11.4	perm rep on 272 pts
S8(2)	85	+	85	χ4	Z			95%	2	30.5	perm rep on 240 pts
S8(2)	119	+	119	χ5	Z			98%	1	58.8	perm rep on 120 pts
S8(2)	135	+	135	χ6	Z			98%	1	75.8	perm rep on 136 pts
S8(2)	238	+	No representations available

Last generated on Sat Sep 24 18:53:22 2005