Generators and Representations for G = U₅(2)

Standard generators

• Standard generators of U₅(2) are a and b where a is in class 2A, b has order 5 and ab has order 11. (Source: ATLAS)

BBOX programs

• Checker for U₅(2)
• CCL rep tester for U₅(2)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
U5(2)	10	-	No representations available
U5(2)	11	o	11(a)	χ3	Z(ω)			75%		1.1	perm rep on 891 pts
			11(b)	χ4	Z(ω)			75%		1.1	perm rep on 891 pts
U5(2)	44	+	44	χ5	Q			89%		8.9	perm rep on 165 pts
U5(2)	55	+	55	χ6	Z			93%	2	13.1	perm rep on 176 pts
U5(2)	55	o	55(a)	χ7	Q(ω)			90%		15.2	perm rep on 495 pts
			55(b)	χ8	Q(ω)			90%		15.2	perm rep on 495 pts
U5(2)	66	o	66(a)	χ9	Z(ω)			90%		19.4	perm rep on 528 pts
			66(b)	χ10	Z(ω)			90%		19.5	perm rep on 528 pts
U5(2)	110	-	No representations available
U5(2)	110	o	110(b)	χ12	Q(ω)			94%		54.0	perm rep on 495 pts
			110(c)	χ13	Q(ω)			94%		54.0	perm rep on 495 pts
U5(2)	120	+	120	χ16	Z			90%	5	60.8	perm rep on 165 pts (LLL'ed)
U5(2)	165	+	165	χ17	Z			69%	775	128.3	perm rep on 1782 pts
U5(2)	176	+	176	χ18	Z			95%	4	129.2	perm rep on 297 pts
U5(2)	220	o	No representations available

Notes

Element xyxyxyyxyxyy is in class 12F.

Last generated on Sat Sep 24 18:53:11 2005