Generators and Representations for G = O₈^-(3)

Standard generators

• Standard generators of O₈^-(3) are a and b where a is in class 2A, b is in class 4F, ab has order 41, abb has order 6 and ababb has order 41. (Source: ATLAS)
• Standard generators of the double cover 2.O₈^-(3) are preimages A and B where AB has order 41 and ABABB has order 41. (Source: ATLAS)

BBOX programs

• Checker for O₈^-(3)
• CCL rep tester for O₈^-(3)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
O8-(3)	246	+	246	χ2	Z			77%	306	275.5	perm rep on 1066 pts, LLL'ed

Last generated on Sat Sep 24 18:53:15 2005