Representations of HN

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
1140000		Primitive	1	12	1, 462, 25202, 10395, 16632, 30800, 69300, 1663202, 311850, 362880	1 + 133ab + 760 + 3344 + 8910 + 16929 + 35112ab + 267520 + 365750 + 406296	A12	m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	Q(√5)	133	a	+	χ2	Z[b5]			1	Abs irr	m b g M	view
0	Q(√5)	133	b	+	χ3	Z[b5]			1	Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(4)	132	a							Abs irr	m b g M	view
2	GF(4)	132	b							Abs irr	m b g M	view
2	GF(4)	133								Indec not irr	m b g M	view
2	GF(2)	760								Abs irr	m b g M	view
2	GF(4)	2650	a							Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(9)	133	a							Abs irr	m b g M	view
3	GF(9)	133	b							Abs irr	m b g M	view
3	GF(3)	760								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(5)	133								Abs irr	m b g M	view
5	GF(5)	626								Abs irr	m b g M	view
5	GF(5)	627								Indec not irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(49)	133	a							Abs irr	m b g M	view
7	GF(49)	133	b							Abs irr	m b g M	view
7	GF(7)	760								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
11	GF(11)	133	a							Abs irr	m b g M	view
11	GF(11)	133	b							Abs irr	m b g M	view
11	GF(11)	760								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
19	GF(19)	133	a							Abs irr	m b g M	view
19	GF(19)	133	b							Abs irr	m b g M	view
19	GF(19)	760								Abs irr	m b g M	view

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Representations of HN

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