Generators and Representations for G = Suz

Standard generators

• Standard generators of the Suzuki group Suz are a and b where a is in class 2B, b is in class 3B, ab has order 13 and ababb has order 15. (Source: ATLAS)
• Standard generators of 2.Suz are preimages A and B where B has order 3 and AB has order 13. (Source: ATLAS)
• Standard generators of 3.Suz are preimages A and B where A has order 2 and AB has order 13. (Source: ATLAS)
• Standard generators of 6.Suz are preimages A and B where A has order 4, B has order 3 and AB has order 13. (Source: ATLAS)
• Standard generators of the automorphism group Suz:2 are c and d where c is in class 2C, d is in class 3B and cd has order 28. (Source: ATLAS)

BBOX programs

• Finder for Suz
• Finder for Suz.2
• Checker for Suz
• Checker for Suz.2
• CCL rep tester for Suz

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
Suz	143	+	143	χ2	Z			63%	4646	110.8	perm rep on 32760 pts
2.Suz	220	-	No representations available
3.Suz	66	o	No representations available
3.Suz	78	o	No representations available
6.Suz	12	o	No representations available

Last generated on Sat Sep 24 18:52:39 2005