Representations of M₂₂

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
22		Primitive	3	2	1, 21			m b g M	view
77		Primitive	1	3	1, 16, 60			m b g M	view
176	a	Primitive	1	3	1, 70, 105			m b g M	view
176	b	Primitive	1	3	1, 70, 105			m b g M	view
231		Primitive	1	4	1, 30, 40, 160			m b g M	view
330		Primitive	1	5	1, 7, 42, 112, 168			m b g M	view
462	a	Trans but imp	1	5	1, 5, 96, 120, 240			m b g M	view
462	b	Trans but imp	1	8	12, 204, 60, 320			m b g M	view
462	c	Trans but imp	1	8	1, 5, 202, 802, 96, 160			m b g M	view
616		Primitive	1	5	1, 30, 45, 180, 360			m b g M	view
672		Primitive	1	6	1, 552, 66, 165, 330			m b g M	view
770		Trans but imp	1	9	1, 9, 16, 72, 96, 1444			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	Z	21		+	χ2					?	m b g M	view
0	C	45	a	o	χ3					?	m b g M	view
0	C	45	b	o	χ4					?	m b g M	view
0	Z	55		+	χ5					?	m b g M	view
0	Z	99		+	χ6					?	m b g M	view
0	Z	154		+	χ7					?	m b g M	view
0	Z	210		+	χ8					?	m b g M	view
0	Z	231		+	χ9					?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(2)	10	a	o	φ2	Z[b7]			1	Abs irr	m b g M	view
2	GF(2)	10	b	o	φ3	Z[b7]			1	Abs irr	m b g M	view
2	GF(2)	34								Abs irr	m b g M	view
2	GF(4)	70	a							Abs irr	m b g M	view
2	GF(4)	70	b							Abs irr	m b g M	view
2	GF(2)	98								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(3)	21								Abs irr	m b g M	view
3	GF(9)	45	a							Abs irr	m b g M	view
3	GF(3)	49	a							Abs irr	m b g M	view
3	GF(3)	49	b							Abs irr	m b g M	view
3	GF(3)	55								Abs irr	m b g M	view
3	GF(3)	99								Abs irr	m b g M	view
3	GF(3)	210								Abs irr	m b g M	view
3	GF(3)	231								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(5)	21								Abs irr	m b g M	view
5	GF(25)	45	a							Abs irr	m b g M	view
5	GF(5)	55								Abs irr	m b g M	view
5	GF(5)	98								Abs irr	m b g M	view
5	GF(5)	133								Abs irr	m b g M	view
5	GF(5)	210								Abs irr	m b g M	view
5	GF(5)	280	a							Abs irr	m b g M	view
5	GF(5)	385								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	21								Abs irr	m b g M	view
7	GF(7)	45								Abs irr	m b g M	view
7	GF(7)	54								Abs irr	m b g M	view
7	GF(7)	154								Abs irr	m b g M	view
7	GF(7)	210								Abs irr	m b g M	view
7	GF(7)	231								Abs irr	m b g M	view
7	GF(49)	280	a							Abs irr	m b g M	view
7	GF(49)	280	b							Abs irr	m b g M	view
7	GF(7)	385								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
11	GF(11)	20								Abs irr	m b g M	view
11	GF(11)	45	a							Abs irr	m b g M	view
11	GF(11)	45	b							Abs irr	m b g M	view
11	GF(11)	55								Abs irr	m b g M	view
11	GF(11)	99								Abs irr	m b g M	view
11	GF(11)	154								Abs irr	m b g M	view
11	GF(11)	190								Abs irr	m b g M	view
11	GF(11)	231								Abs irr	m b g M	view
11	GF(11)	385								Abs irr	m b g M	view

Version 3.004 / HTML 4.01 / CSS

Navigation

Up

ATLAS index page
Sporadic groups
M₂₂
Representations of M22

Lookup