Generators and Representations for G = M₂₃

Standard generators

• Standard generators of the Mathieu group M₂₃ are a and b where a has order 2, b has order 4, ab has order 23 and ababababbababbabb has order 8. (Source: ATLAS)

BBOX programs

• Finder for M₂₃
• Checker for M₂₃
• CCL rep tester for M₂₃

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
M23	22	+	22	χ2	Z			93%	1	2.5	perm rep on 23 pts
M23	45	o	45(a)	χ3	C			58%		14.9	restricted 45-dim rep of M24
			45(b)	χ4	C			58%		14.9	restricted 45-dim rep of M24
M23	230	+	230	χ5	Z			97%	4	219.0	perm rep on 253 pts
M23	231	+	231(a)	χ6	Z			98%	1	220.3	perm rep on 506 pts
M23	231	o	231(b)	χ7	C			4%		13574.8	complex conjugate of χ8
			231(c)	χ8	C			4%		13571.7	from M24 rep

Last generated on Sat Sep 24 18:52:38 2005