Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2F4(2)'

Name:
2F4(2)'
Group order:
17971200 = 211 ⋅ 33 ⋅ 52 ⋅ 13
Number of classes:
22
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Maximal subgroups:
  Order Index Structure Name
1 11232 1600 L3(3).2 L3(3).2
2 11232 1600 L3(3).2 2F4(2)'M2
3 10240 1755 2.[28]:5:4 2.2^8.f20
4 7800 2304 L2(25) L2(25)
5 6144 2925 22.[28]:S3 2^2.2^8:s3
6 1440 12480 A6.22 A6.2^2
7 1440 12480 A6.22 2F4(2)'M7
8 1200 14976 52:4A4 5^2:4A4
Stored Sylow p normalizers:
p Order Index Structure Name
2 2048 8775 2F4(2)'N2 2F4(2)'N2
3 216 83200 31+2:D8 3^(1+2):D8
5 1200 14976 52:4A4 5^2:4A4
13 78 230400 13:6 13:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
37 available
Group constructions in GAP:
AtlasGroup( "2F4(2)'" ), AtlasStabilizer( "Fi22", "F22G1-p3592512B0" ), AtlasSubgroup( "2F4(2)'.2", 1 ), AtlasSubgroup( "Fi22", 9 ), PrimitiveGroup( 1600, 20 ), PrimitiveGroup( 1755, 1 ), PrimitiveGroup( 2304, 9 ), PrimitiveGroup( 2925, 1 )
Stored class fusions from this table:
2F4(2)'.2, Fi22, Ru
Stored class fusions to this table:
2.[28]:5:4, L3(3).2, A6.22, 2F4(2)'N2, 22.[28]:S3, 32.2.S4, 31+2:D8, 52:4A4, 13:6, A6.22, L2(25), L3(3), L3(3).2

File created automatically by GAP on 13-Mar-2024.