Representations of G₂(4)

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
416		Primitive	1	3	1, 100, 315			m b g M	view
1365	a	Primitive	1	4	1, 20, 320, 1024			m b g M	view
1365	b	Primitive	1	4	1, 20, 320, 1024			m b g M	view
2016		Primitive	1	3	1, 975, 1040			m b g M	view
2080		Primitive	1	4	1, 126, 945, 1008			m b g M	view
20800		Primitive	1	14	1, 63, 72, 126, 2522, 378, 15123, 2016, 3024, 4032, 6048			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	Z	65								?	m b g M	view
0	Z	78								?	m b g M	view
0	Z	350								?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(4)	6	a							Abs irr	m b g M	view
2	GF(4)	6	b							Abs irr	m b g M	view
2	GF(4)	14	a							Abs irr	m b g M	view
2	GF(4)	14	b							Abs irr	m b g M	view
2	GF(2)	36								Abs irr	m b g M	view
2	GF(4)	64	a							Abs irr	m b g M	view
2	GF(4)	64	b							Abs irr	m b g M	view
2	GF(4)	84	a							Abs irr	m b g M	view
2	GF(4)	84	b							Abs irr	m b g M	view
2	GF(2)	196								Abs irr	m b g M	view
2	GF(4)	384	a							Abs irr	m b g M	view
2	GF(4)	896	a							Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(3)	64								Abs irr	m b g M	view
3	GF(3)	78								Abs irr	m b g M	view
3	GF(3)	286								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(5)	65								Abs irr	m b g M	view
5	GF(5)	78								Abs irr	m b g M	view
5	GF(5)	350								Abs irr	m b g M	view
5	GF(5)	363	a							Abs irr	m b g M	view
5	GF(5)	650								Abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
7	GF(7)	65								Abs irr	m b g M	view
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)	65								Abs irr	m b g M	view
13	GF(13)	78								Abs irr	m b g M	view

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Exceptional groups of Lie type
G₂(4)
Representations of G2(4)

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