Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O₇(3).2

Name:

O7(3).2

Group order:

9170703360 = 2¹⁰ ⋅ 3⁹ ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

98

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(O7(3))

Duplicates:

O8-(3)M3

Some maximal subgroups:

	Order	Index	Structure	Name
1	4585351680	2	O7(3)	O7(3)
8	322560	28431	26:S7	2^6:S7

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)
13	dec. matrix (PDF)

Atlas representations:

3 available

Group constructions in GAP:

AtlasGroup( "O7(3).2" ), AutomorphismGroup( AtlasGroup( "O7(3)" ) ), PrimitiveGroup( 351, 6 ), PrimitiveGroup( 364, 4 ), PrimitiveGroup( 378, 6 ), PrimitiveGroup( 1120, 6 ), PrimitiveGroup( 3640, 4 )

Stored class fusions from this table:

²E₆(2).2, O₇(3).2 × 2, O₈⁻(3)

Stored class fusions to this table:

2.O₇(3).2, 2.U₄(3).(2²)_1*22, 2⁶:S₇, 2 × 13:6, 3.O₇(3).2, 3⁵:(2 × U₄(2).2), 3⁷.O₇(3):2, 6.O₇(3).2, O₇(3)

File created automatically by GAP on 20-May-2025.