Generators and Representations for G = U₃(7)

Standard generators

• Standard generators of U₃(7) are a and b where a has order 2, b has order 3, ab has order 43 and ababb has order 4. (Source: ATLAS)

BBOX programs

• Checker for U₃(7)
• CCL rep tester for U₃(7)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
U3(7)	42	-	No representations available
U3(7)	43	+	43(a)	χ3	Z			89%	3	8.4	perm rep on 688 pts
U3(7)	43	o	43(b)	χ4	Q(i)			86%		11.8	complex conjugate of χ5
			43(c)	χ5	Q(i)			86%		11.8	perm rep on 1376 pts

Notes

Element xyxyxy² is assumed to be in class 48A.

Last generated on Sat Sep 24 18:53:07 2005