Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 6.Fi22

Name:
6.Fi22
Group order:
387370509926400 = 218 ⋅ 310 ⋅ 52 ⋅ 7 ⋅ 11 ⋅ 13
Number of classes:
282
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Duplicates:
6.2E6(2)M9
Some maximal subgroups:
  Order Index Structure Name
1 110361968640 3510 (22 × 3).U6(2) (2^2x3).U6(2)
2 27512110080 14080 2 × 3.O7(3) 2x3.O7(3)
3 27512110080 14080 2 × 3.O7(3) 6.Fi22M3
4 6270566400 61776 6 × O8+(2):S3 6xO8+(2):S3
5 2724986880 142155 211.3.M22 6.Fi22M5
8 235146240 1647360 S3 × 61.U4(3).22 S3x6_1.U4(3).2_2
Stored Sylow p normalizers:
p Order Index Structure Name
2 786432 492567075 3 × 2.Fi22N2 3x2.Fi22N2
3 472392 820019200 2 × 3.Fi22N3 2x3.Fi22N3
5 14400 26900729856 6 × Fi22N5 6xFi22N5
7 1512 256197427200 6 × S3 × 7:6 6xS3x7:6
11 660 586925015040 2 × 6 × 11:5 2x6x11:5
13 468 827714764800 6 × 13:6 6x13:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
6 available
Group constructions in GAP:
AtlasGroup( "6.Fi22" ), AtlasSubgroup( "6.Fi22.2", 1 )
Stored class fusions from this table:
2.Fi22, Fi22, 3.Fi22, 3.Fi22, 6.2E6(2), 6.Fi22.2, Fi22
Stored class fusions to this table:
2 × 3.Fi22N3, 2 × 3.O7(3), 2 × 6 × 11:5, 3 × 2.Fi22N2, 2 × 3.O7(3), 211.3.M22, 6 × 5:4 × S5, 6 × 13:6, 6 × Fi22N5, 6 × O8+(2):S3, 6 × S3 × 7:6, 2 × 6.Fi22, (22 × 3).U6(2), S3 × 61.U4(3).22

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