Generators and Representations for G = M₁₁

Standard generators

• Standard generators of M₁₁ are a and b where a has order 2, b has order 4, ab has order 11 and ababababbababbabb has order 4. Two equivalent conditions to the last one are that ababbabbb has order 5 or that ababbbabb has order 3. (Source: ATLAS)

BBOX programs

• Finder for M₁₁
• Checker for M₁₁
• CCL rep tester for M₁₁

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
M11	10	+	10(a)	χ2	Z			85%	1	1.0	perm rep on 11 pts
M11	10	o	10(b)	χ3	C			76%		1.3	perm rep on 330 pts
			10(c)	χ4	C			76%		1.3	complex conjugate of χ3
			20	χ3+χ4	Z			66%	3	2.3	perm rep on 330 pts
M11	11	+	11	χ5	Z			86%	1	1.1	perm rep on 12 pts
M11	16	o	32	χ6+χ7	Z			88%	2	4.9	perm rep on 144 pts
M11	44	+	44	χ8	Z			94%	1	8.7	perm rep on 55 pts
M11	45	+	45	χ9	Z			95%	1	9.0	perm rep on 110 pts
M11	55	+	55	χ10	Z			98%	1	13.0	perm rep on 110 pts

Last generated on Sat Sep 24 18:52:36 2005