Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U₃(8).6

Name:

U3(8).6

Group order:

33094656 = 2¹⁰ ⋅ 3⁵ ⋅ 7 ⋅ 19

Number of classes:

39

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: PSigmaU(3,8) extended by transpose-inverse

Available Brauer tables:

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

Atlas representations:

11 available

Group constructions in GAP:

AtlasGroup( "U3(8).6" ), AtlasStabilizer( "HN.2", "HNd2G1-p16500000B0" ), AtlasSubgroup( "HN.2", 4 ), AtlasSubgroup( "Th", 4 ), PrimitiveGroup( 513, 6 ), PrimitiveGroup( 3648, 6 )

Stored class fusions from this table:

²E₆(2).2, HN.2, Th, U₃(8).(S₃ × 3)

Stored class fusions to this table:

3.U₃(8).6, (A₅ × U₃(8):3):2, U₃(8), U₃(8).2, U₃(8).3₁

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