Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U₃(8).3₁

Name:

U3(8).3_1

Group order:

16547328 = 2⁹ ⋅ 3⁵ ⋅ 7 ⋅ 19

Number of classes:

36

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: PSigmaU(3,8)

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
7	dec. matrix (PDF)
19	dec. matrix (PDF)

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "U3(8).3_1" ), AtlasStabilizer( "HN", "HNG1-p16500000B0" ), AtlasSubgroup( "HN", 3 ), PSigmaU( 3, 8 ), PrimitiveGroup( 513, 3 ), PrimitiveGroup( 3648, 4 )

Stored class fusions from this table:

²E₆(2), HN, U₃(8).3², U₃(8).6

Stored class fusions to this table:

3.U₃(8).3₁, 19:9, U₃(8)

File created automatically by GAP on 6-May-2025.