Representations of L₃(8).3

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
73	a	Primitive	2	2	1, 72			m b g M	view
73	b	Primitive	2	2	1, 72			m b g M	view
219	a	Trans but imp	1	6	13, 723			m b g M	view
219	b	Trans but imp	1	6	13, 723			m b g M	view
56064		Primitive	1	80	1, 42, 63, 98, 1475, 2946, 4419, 88256			m b g M	view
75264		Primitive	1	126	1, 732, 21913, 657110			m b g M	view
98112		Trans but imp	1	381	13, 2818, 3618, 633, 12660, 252204, 50475			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(2)	9								Abs irr	m b g M	view
2	GF(2)	24								Abs irr	m b g M	view
2	GF(2)	27	a							Abs irr	m b g M	view
2	GF(2)	27	b							Abs irr	m b g M	view
2	GF(2)	27	c							Abs irr	m b g M	view
2	GF(2)	72	a							Abs irr	m b g M	view
2	GF(2)	72	b							Abs irr	m b g M	view
2	GF(2)	81								Abs irr	m b g M	view
2	GF(2)	192								Abs irr	m b g M	view
2	GF(2)	216	a							Abs irr	m b g M	view
2	GF(2)	216	b							Abs irr	m b g M	view
2	GF(2)	512								Abs irr	m b g M	view
2	GF(2)	576								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(3)	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

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L₃(8)
Representations of L3(8).3

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