Representations of A₁₀

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
10		Primitive	8	2	1, 9			m b g M	view
45		Primitive	1	3	1, 16, 28			m b g M	view
120		Primitive	1	4	1, 21, 35, 63			m b g M	view
126		Primitive	1	3	1, 25, 100			m b g M	view
210		Primitive	1	5	1, 15, 24, 80, 90			m b g M	view
945		Primitive	1	7	1, 20, 60, 80, 160, 240, 384			m b g M	view
2520		Primitive	1	12	1, 102, 45, 903, 144, 240, 360, 7202			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	Z	9		+	χ2					?	m b g M	view
0	Z	35		+	χ3					?	m b g M	view
0	Z	36		+	χ4					?	m b g M	view
0	Z	42		+	χ5					?	m b g M	view
0	Z	75		+	χ6					?	m b g M	view
0	Z	84		+	χ7					?	m b g M	view
0	Z	90		+	χ8					?	m b g M	view
0	Z	126		+	χ9					?	m b g M	view
0	Z	160		+	χ10					?	m b g M	view
0	Z	210		+	χ11					?	m b g M	view
0	Z	224	a	+	χ12					?	m b g M	view
0	Z	224	b	+	χ13					?	m b g M	view
0	Z	225		+	χ14					?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(2)	8								Abs irr	m b g M	view
2	GF(2)	16								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)	64	a							Abs irr	m b g M	view
2	GF(2)	64	b							Abs irr	m b g M	view
2	GF(2)	160								Abs irr	m b g M	view
2	GF(2)	198								Abs irr	m b g M	view
2	GF(2)	200								Abs irr	m b g M	view
2	GF(4)	384	a							Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(3)	9								Abs irr	m b g M	view
3	GF(3)	34								Abs irr	m b g M	view
3	GF(3)	36								Abs irr	m b g M	view
3	GF(3)	41								Abs irr	m b g M	view
3	GF(3)	84								Abs irr	m b g M	view
3	GF(3)	90								Abs irr	m b g M	view
3	GF(3)	126								Abs irr	m b g M	view
3	GF(3)	224								Abs irr	m b g M	view
3	GF(3)	279								Abs irr	m b g M	view
3	GF(3)	567								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)	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)	35	c							Abs irr	m b g M	view
5	GF(5)	55								Abs irr	m b g M	view
5	GF(5)	56								Abs irr	m b g M	view
5	GF(5)	75								Abs irr	m b g M	view
5	GF(5)	133	a							Abs irr	m b g M	view
5	GF(5)	133	b							Abs irr	m b g M	view
5	GF(5)	155								Abs irr	m b g M	view
5	GF(5)	160								Abs irr	m b g M	view
5	GF(5)	217								Abs irr	m b g M	view
5	GF(5)	225								Abs irr	m b g M	view
5	GF(5)	300								Abs irr	m b g M	view
5	GF(5)	350								Abs irr	m b g M	view
5	GF(5)	450								Abs irr	m b g M	view
5	GF(5)	525								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	9								Abs irr	m b g M	view
7	GF(7)	35								Abs irr	m b g M	view
7	GF(7)	36								Abs irr	m b g M	view
7	GF(7)	66								Abs irr	m b g M	view
7	GF(7)	84								Abs irr	m b g M	view
7	GF(7)	89								Abs irr	m b g M	view
7	GF(7)	101								?	m b g M	view
7	GF(7)	124								Abs irr	m b g M	view
7	GF(7)	126								Abs irr	m b g M	view
7	GF(7)	315								Abs irr	m b g M	view

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A₁₀
Representations of A10

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