Generators and Representations for G = ²F₄(2)'

Standard generators

• Standard generators of the group ²F₄(2)' are a and b where a is in class 2A, b has order 3 and ab has order 13. (Source: ATLAS)

BBOX programs

• Checker for ²F₄(2)'
• CCL rep tester for ²F₄(2)'

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
2F4(2)'	26	o	26(a)	χ2	C			81%		18.4	restriction from 52-dim rep of F4(2), split
			26(b)	χ3	C			81%		18.4	complex conjugate of χ2
			52	χ2+χ3	Z			54%	37	13.0	restriction from 52-dim rep of F4(2)
2F4(2)'	27	o	27(a)	χ4	Q(i)			79%		4.9	perm rep on 2304 pts
			27(b)	χ5	Q(i)			79%		4.9	complex conjugate of χ4
2F4(2)'	78	+	78	χ6	Z			92%	8	26.0	perm rep on 1755 pts

Notes

The element (xy)⁵xy²xy(xy²)³ is in class 16A.

Last generated on Sat Sep 24 18:52:54 2005