Representations of L₃(8).2

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
146		Trans but imp	1	4	1, 9, 64, 72			m b g M	view
657		Primitive	1	4	1, 16, 128, 512			m b g M	view
4672		Primitive	1	11	1, 72, 126, 441, 5046, 1008			m b g M	view
56064		Primitive	1	125	1, 213, 42, 984, 1474, 1963, 29433, 58876			m b g M	view
75264		Primitive	1	216	1, 735, 14618, 21954, 438138			m b g M	view
98112		Primitive	1	335	1, 213, 48, 564, 844, 1123, 16860, 336259			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(8)	6								Abs irr	m b g M	view
2	GF(8)	8								Abs irr	m b g M	view
2	GF(8)	18	a							Abs irr	m b g M	view
2	GF(8)	18	b							Abs irr	m b g M	view
2	GF(8)	48	a							Abs irr	m b g M	view
2	GF(8)	48	b							Abs irr	m b g M	view
2	GF(2)	54								Abs irr	m b g M	view
2	GF(8)	54								Abs irr	m b g M	view
2	GF(8)	64								Abs irr	m b g M	view
2	GF(8)	144	a							Abs irr	m b g M	view
2	GF(8)	144	b							Abs irr	m b g M	view
2	GF(8)	384								Abs irr	m b g M	view
2	GF(2)	512								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(9)	72								Abs irr	m b g M	view
3	GF(3)	511								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	72								Abs irr	m b g M	view
7	GF(7)	511								Abs irr	m b g M	view
7	GF(7)	512								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
73	GF(73)	71								Abs irr	m b g M	view
73	GF(73)	441								Abs irr	m b g M	view
73	GF(73)	511	a							Abs irr	m b g M	view
73	GF(73)	511	b							Abs irr	m b g M	view

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L₃(8)
Representations of L3(8).2

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