Generators and Representations for G = O₈^-(2)

Standard generators

• Standard generators of O₈^-(2) are a and b where a is in class 2C, b is in class 3C and ab has order 17, ababb has order 17, and abababb has order 30. (Source: ATLAS)

BBOX programs

• Checker for O₈^-(2)
• CCL rep tester for O₈^-(2)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
O8-(2)	34	+	34	χ2	Z			88%	3	5.5	perm rep on 119 pts
O8-(2)	51	+	51	χ3	Z			92%	2	11.4	perm rep on 136 pts
O8-(2)	84	+	84	χ4	Z			94%	2	29.9	perm rep on 119 pts - LLL'ed
O8-(2)	204	+	204(a)	χ5	Z			82%	110	182.8	perm rep on 3213 pts (cosets of 2^(1+8):(2 x S5)
			204(b)	χ6	Z			91%	9	175.0	perm reps on 765 pts - LLL'ed

Last generated on Sat Sep 24 18:53:14 2005