Representations of 2.M₂₂

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
352	a	Trans but imp	1	5	12, 1052, 140			m b g M	view
660		Trans but imp	1	7	12, 14, 84, 1122, 336			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
Undefined	Z4	10	a							?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	C	10	a	o	χ13					?	m b g M	view
0	C	10	b	o	χ14					?	m b g M	view
0	Z	20		o	χ13+χ14					?	m b g M	view
0	Z	56		+	χ15					?	m b g M	view
0	Z	120		+	χ16					?	m b g M	view
0	Z	210		+	χ21					?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(9)	10	a							Abs irr	m b g M	view
3	GF(9)	10	b							Abs irr	m b g M	view
3	GF(3)	56								Abs irr	m b g M	view
3	GF(3)	120								Abs irr	m b g M	view
3	GF(3)	126	b							Abs irr	m b g M	view
3	GF(9)	154								Abs irr	m b g M	view
3	GF(3)	210								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(25)	10	a							Abs irr	m b g M	view
5	GF(25)	10	b							Abs irr	m b g M	view
5	GF(5)	28	a							Abs irr	m b g M	view
5	GF(5)	28	b							Abs irr	m b g M	view
5	GF(5)	120								Abs irr	m b g M	view
5	GF(25)	126	a							Abs irr	m b g M	view
5	GF(5)	210								Abs irr	m b g M	view
5	GF(5)	330								Abs irr	m b g M	view
5	GF(5)	440								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	10								Abs irr	m b g M	view
7	GF(7)	56								Abs irr	m b g M	view
7	GF(7)	120								Abs irr	m b g M	view
7	GF(49)	126	a							Abs irr	m b g M	view
7	GF(49)	126	b							Abs irr	m b g M	view
7	GF(49)	154	a							Abs irr	m b g M	view
7	GF(49)	154	b							Abs irr	m b g M	view
7	GF(7)	210								Abs irr	m b g M	view
7	GF(7)	252								Irr not abs irr	m b g M	view
7	GF(7)	308								Irr not abs irr	m b g M	view
7	GF(7)	320								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
11	GF(11)	10	a							Abs irr	m b g M	view
11	GF(11)	10	b							Abs irr	m b g M	view
11	GF(11)	56								Abs irr	m b g M	view
11	GF(11)	64								Abs irr	m b g M	view
11	GF(11)	126								Abs irr	m b g M	view
11	GF(121)	154	a							Abs irr	m b g M	view
11	GF(121)	154	b							Abs irr	m b g M	view
11	GF(11)	308								Irr not abs irr	m b g M	view
11	GF(11)	330								Abs irr	m b g M	view
11	GF(11)	440								Abs irr	m b g M	view

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