Generators and Representations for G = U₆(2)

Standard generators

• Standard generators of U₆(2) are a and b where a is in class 2A, b has order 7, ab has order 11 and abb has order 18. (Source: ATLAS)
• Standard generators of the double cover 2.U₆(2) are preimages A and B where B has order 7, AB has order 11 and ABBB has order 11. (Source: ATLAS)
• Standard generators of the triple cover 3.U₆(2) are preimages A and B where A has order 2 and B has order 7. (Source: ATLAS)
• Standard generators of the sixfold cover 6.U₆(2) are preimages A and B where A has order 2, B has order 7, AB has order 33 and ABBB has order 11. (Source: ATLAS)

BBOX programs

• Checker for U₆(2)
• CCL rep tester for U₆(2)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
U6(2)	22	+	22	χ2	Z			86%	1	2.6	perm rep on 891 pts
U6(2)	231	+	231	χ3	Z			96%	2	221.5	exterior square of χ2
2.U6(2)	56	+	No representations available
2.U6(2)	176	+	No representations available
3.U6(2)	21	o	No representations available
3.U6(2)	210	o	No representations available
3.U6(2)	231	o	No representations available
6.U6(2)	120	o	No representations available

Last generated on Sat Sep 24 18:53:12 2005