Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for J2

Name:
J2
Group order:
604800 = 27 ⋅ 33 ⋅ 52 ⋅ 7
Number of classes:
21
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 6048 100 U3(3) U3(3)
2 2160 280 3.A6.22 3.A6.2_2
3 1920 315 21+4−:A5 2^1+4b:a5
4 1152 525 22+4:(3 × S3) 2^2+4.3xs3
5 720 840 A4 × A5 a4xa5
6 600 1008 A5 × D10 a5xd10
7 336 1800 L3(2).2 L3(2).2
8 300 2016 52:D12 5^2:D12
9 60 10080 A5 A5
Stored Sylow p normalizers:
p Order Index Structure Name
2 384 1575 J2N2 J2N2
3 216 2800 31+2:8 3^(1+2):8
5 300 2016 52:D12 5^2:D12
7 42 14400 7:6 7:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
62 available
Group constructions in GAP:
AtlasGroup( "J2" ), AtlasStabilizer( "G2(4)", "G24G1-p416B0" ), AtlasSubgroup( "G2(4)", 1 ), AtlasSubgroup( "J2.2", 1 ), PerfectGroup( 604800, 1 ), PrimitiveGroup( 100, 1 ), PrimitiveGroup( 280, 21 ), PrimitiveGroup( 315, 2 ), PrimitiveGroup( 525, 5 ), PrimitiveGroup( 840, 3 ), PrimitiveGroup( 1008, 1 ), PrimitiveGroup( 1800, 1 ), PrimitiveGroup( 2016, 3 )
Stored class fusions from this table:
G2(4), J2.2, S6(5)
Stored class fusions to this table:
2.J2, 21+4−:A5, 22+4:(3 × S3), 212:J2, 3.A6.22, 31+2:8, 52:D12, 7:6, A4 × S3, A5, J2N2, L3(2).2, U3(3), A4 × A5, A5 × D10

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