Representations of A₉

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
9		Primitive	7	2	1, 8			m b g M	view
36		Primitive	1	3	1, 14, 21			m b g M	view
84		Primitive	1	4	1, 18, 20, 45			m b g M	view
120	a	Primitive	1	3	1, 56, 63			m b g M	view
120	b	Primitive	1	3	1, 56, 63			m b g M	view
126		Primitive	1	5	1, 5, 20, 40, 60			m b g M	view
280		Primitive	1	5	1, 27, 36, 54, 162			m b g M	view
840		Primitive	1	12	1, 8, 242, 27, 36, 724, 2162			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	Z	8		+	χ2					?	m b g M	view
0	C	21	a	o	χ3					?	m b g M	view
0	C	21	b	o	χ4					?	m b g M	view
0	Z	27		+	χ5					?	m b g M	view
0	Z	28		+	χ6					?	m b g M	view
0	Z	35	a	+	χ7					?	m b g M	view
0	Z	35	b	+	χ8					?	m b g M	view
0	Z	42		+	χ9					?	m b g M	view
0	Z	48		+	χ10					?	m b g M	view
0	Z	56		+	χ11					?	m b g M	view
0	Z	84		+	χ12					?	m b g M	view
0	Z	105		+	χ13					?	m b g M	view
0	Z	120		+	χ14					?	m b g M	view
0	Z	162		+	χ15					?	m b g M	view
0	Z	168		+	χ16					?	m b g M	view
0	Z	189		+	χ17					?	m b g M	view
0	Z	216		+	χ18					?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(2)	8	a							Abs irr	m b g M	view
2	GF(2)	8	b							Abs irr	m b g M	view
2	GF(2)	8	c							Abs irr	m b g M	view
2	GF(2)	20	a							Abs irr	m b g M	view
2	GF(2)	20	b							Abs irr	m b g M	view
2	GF(2)	26								Abs irr	m b g M	view
2	GF(2)	48								Abs irr	m b g M	view
2	GF(2)	78								Abs irr	m b g M	view
2	GF(2)	160								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(3)	7								Abs irr	m b g M	view
3	GF(3)	21								Abs irr	m b g M	view
3	GF(3)	27								Abs irr	m b g M	view
3	GF(3)	35								Abs irr	m b g M	view
3	GF(3)	41								Abs irr	m b g M	view
3	GF(3)	162								Abs irr	m b g M	view
3	GF(3)	189								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(5)	8								Abs irr	m b g M	view
5	GF(5)	21								Abs irr	m b g M	view
5	GF(5)	27								Abs irr	m b g M	view
5	GF(5)	28								Abs irr	m b g M	view
5	GF(5)	34								Abs irr	m b g M	view
5	GF(5)	35	a							Abs irr	m b g M	view
5	GF(5)	35	b							Abs irr	m b g M	view
5	GF(5)	56								Abs irr	m b g M	view
5	GF(5)	83								Abs irr	m b g M	view
5	GF(5)	105								Abs irr	m b g M	view
5	GF(5)	120								Abs irr	m b g M	view
5	GF(5)	133								Abs irr	m b g M	view
5	GF(5)	134								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	8								Abs irr	m b g M	view
7	GF(7)	19								Abs irr	m b g M	view
7	GF(49)	21	a							Abs irr	m b g M	view
7	GF(49)	21	b							Abs irr	m b g M	view
7	GF(7)	28								Abs irr	m b g M	view
7	GF(7)	35	a							Abs irr	m b g M	view
7	GF(7)	35	b							Abs irr	m b g M	view
7	GF(7)	42								Abs irr	m b g M	view
7	GF(7)	47								Abs irr	m b g M	view
7	GF(7)	56								Abs irr	m b g M	view
7	GF(7)	84								Abs irr	m b g M	view
7	GF(7)	101								Abs irr	m b g M	view
7	GF(7)	105								Abs irr	m b g M	view
7	GF(7)	115								Abs irr	m b g M	view
7	GF(7)	168								Abs irr	m b g M	view
7	GF(7)	189								Abs irr	m b g M	view

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Alternating groups
A₉
Representations of A9

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