Representations of He

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
2058		Primitive	1	5	1, 1362, 425, 1360	1 + 51ab + 680 + 1275a		m b g M	view
8330		Primitive	1	7	1, 105, 720, 8402, 1344, 4480	1 + 51ab + 680 + 1275a + 1920 + 4352		m b g M	view
29155		Primitive	1	12	1, 90, 120, 384, 9602, 1440, 2160, 28802, 5760, 11520	1 + 51ab + 680 + 2.1275a + 1920 + 4352 + 7650a + 11900		m b g M	view
244800		Primitive	1	36	1, 16, 1122, 3432, 7844, 1029, 1372, 2352, 548813, 1646410			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	Z	102			χ2 + χ3	Z				Irr not abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(2)	51								Abs irr	m b g M	view
2	GF(2)	101								Abs irr	m b g M	view
2	GF(2)	246								Abs irr	m b g M	view
2	GF(2)	680								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(9)	51								Abs irr	m b g M	view
3	GF(9)	153	a							Abs irr	m b g M	view
3	GF(9)	153	b							Abs irr	m b g M	view
3	GF(3)	679								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(25)	51								Abs irr	m b g M	view
5	GF(5)	104								Abs irr	m b g M	view
5	GF(25)	153	a							Abs irr	m b g M	view
5	GF(25)	153	b							Abs irr	m b g M	view
5	GF(5)	680								Abs irr	m b g M	view
5	GF(25)	925	a							Abs irr	m b g M	view
5	GF(25)	925	b							Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	50		+		Z	1	0		Abs irr	m b g M	view
7	GF(7)	153		+		Z	0			Abs irr	m b g M	view
7	GF(7)	426		+		Z	0			Abs irr	m b g M	view
7	GF(7)	798		+		Z	0			Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
17	GF(17)	102								Irr not abs irr	m b g M	view
17	GF(17)	306								Irr not abs irr	m b g M	view
17	GF(17)	680								Abs irr	m b g M	view

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