Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O7(3)M5

Name:

O7(3)M5

Group order:

4245696 = 2⁶ ⋅ 3⁶ ⋅ 7 ⋅ 13

Number of classes:

23

InfoText value:

5th maximal subgroup of O7(3), differs from O7(3)M4 = G2(3) only by fusion map

Main table:

G₂(3)

Group constructions in GAP:

AtlasGroup( "G2(3)" ), AtlasStabilizer( "O7(3)", "O73G1-p1080aB0" ), AtlasStabilizer( "O7(3)", "O73G1-p1080bB0" ), AtlasSubgroup( "O7(3)", 4 ), PrimitiveGroup( 351, 7 ), PrimitiveGroup( 364, 5 ), PrimitiveGroup( 378, 7 ), PrimitiveGroup( 2808, 1 ), PrimitiveGroup( 3159, 1 ), PrimitiveGroup( 3888, 1 ), SimpleGroup( "G", 2, 3 )

Stored class fusions from this table:

O₇(3)

Stored class fusions to this table:

2 × G₂(3), 3.G₂(3), 2 × 3.G₂(3)

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