Generators and Representations for G = M₂₄

Standard generators

• Standard generators of the Mathieu group M₂₄ are a and b where a is in class 2B, b is in class 3A, ab has order 23 and abababbababbabb has order 4. (Source: ATLAS)

BBOX programs

• Finder for M₂₄
• Checker for M₂₄
• CCL rep tester for M₂₄

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
M24	23	+	23	χ2	Z			93%	1	2.6	perm rep on 24 pts
M24	45	o	45(a)	χ3	C			23%		20.3	Margolin/Stephen Rogers PhD thesis
			45(b)	χ4	C			23%		20.2	complex conjugate of χ3
M24	231	o	231(a)	χ5	C			19%		6146.5	amalgam
			231(b)	χ6	C			19%		6147.3	complex conjugate of χ5

Notes

xyxyxyxyyxyy is in class 14B. xyxyxyxyxyy is in class 15A.

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