Representations of O₇(3)

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
351		Primitive	1	3	1, 126, 224			m b g M	view
364		Primitive	1	3	1, 120, 243			m b g M	view
378		Primitive	1	3	1, 117, 260			m b g M	view
1080	a	Primitive	1	3	1, 351, 728			m b g M	view
1080	b	Primitive	1	3	1, 351, 728			m b g M	view
1120		Primitive	1	4	1, 39, 351, 729			m b g M	view
3640		Primitive	1	5	1, 48, 108, 1296, 2187			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	Z	78		+	χ2					?	m b g M	view
0	Z	91		+	χ3					?	m b g M	view
0	Z	105		+	χ4					?	m b g M	view
0	Z	168		+	χ5					?	m b g M	view
0	Z	182		+	χ6					?	m b g M	view
0	Z	195		+	χ7					?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(2)	78								Abs irr	m b g M	view
2	GF(2)	90								Abs irr	m b g M	view
2	GF(2)	104								Abs irr	m b g M	view
2	GF(2)	260	a							Abs irr	m b g M	view
2	GF(2)	260	b							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)	63								Abs irr	m b g M	view
3	GF(3)	189	a							Abs irr	m b g M	view
3	GF(3)	309								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(5)	78								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	78								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
13	GF(13)	78								Abs irr	m b g M	view

Version 3.004 / HTML 4.01 / CSS

Navigation

Up

ATLAS index page
Classical groups
O₇(3)
Representations of O7(3)

Lookup