Generators and Representations for G = S₄(11)

Standard generators

• Standard generators of S₄(11) are a and b where a is in class 2B, b has order 3, ab has order 61 and ababb has order 10. (This last condition implies that b is in class 3B.) (Source: thesis)

BBOX programs

• Finder for S₄(11)
• Checker for S₄(11)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
S4(11)	61	o	61(a)	χ2	C			0%		340.2	Weil rep (possibly χ3, but no character table available)
			61(b)	χ3	C			0%		340.2	complex conjugate of χ2
			122	χ2+χ3	Z			74%	22	65.8	perm rep on 2928 pts, LLL'ed
2.S4(11)	60	o	No representations available

Last generated on Sat Sep 24 18:53:19 2005