Generators and Representations for G = S₈(3)

Standard generators

• Standard generators of S₈(3) are a and b where a is in class 2B, b is in class 4D and ab has order 14. (Source: thesis)
• Standard generators of the double cover 2.S₈(3) = Sp₈(3) are preimages A and B such that AB³(AB)⁴ has order 9. (Source: thesis)

BBOX programs

• Finder for S₈(3)
• Checker for S₈(3)
• CCL rep tester for S₈(3)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
S8(3)	41	o	41(a)	χ2	Q(ω)			71%		15.9	Weil rep, reseeded a bit
			41(b)	χ3	Q(ω)			71%		15.9	complex conjugate of χ2
2.S8(3)	40	o	No representations available

Notes

Element (xy)⁴y is in class 90B.

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