Generators and Representations for G = S₄(17)

Standard generators

• Standard generators of S₄(17) are a and b where a is in class 2B, b has order 3, ab has order 145 and ababb has order 5. (This last condition implies that b is in class 3B.) (Source: thesis)

BBOX programs

• Finder for S₄(17)
• Checker for S₄(17)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
S4(17)	145	+	290	χ2+χ3	Z			73%	755	406.7	perm rep on 10440 pts, LLL'ed
2.S4(17)	144	-	No representations available

Last generated on Sat Sep 24 18:53:20 2005