Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.J2

Name:
2.J2
Group order:
1209600 = 28 ⋅ 33 ⋅ 52 ⋅ 7
Number of classes:
38
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 12096 100 2 × U3(3) 2xU3(3)
2 4320 280 (2 × 3.A6).2 (2x3.A6).2
3 3840 315 21+4−:2A5 2^{1+4}_-:2A5
4 2304 525 23+4:(3 × S3) 2^{3+4}:(3xS3)
5 1440 840 2A4 × A5 2A4xA5
6 1200 1008 2A5 × D10 2A5xD10
7 672 1800 (2 × L3(2)).2 (2xL3(2)).2
8 600 2016 2.(52:D12) 2.J2M8
9 120 10080 2.A5 2.A5
Stored Sylow p normalizers:
p Order Index Structure Name
2 768 1575 2.J2N2 2.J2N2
3 432 2800 2.J2N3 2.J2N3
5 600 2016 2.(52:D12) 2.J2M8
7 84 14400 7:12 7:12
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
19 available
Group constructions in GAP:
AtlasGroup( "2.J2" ), AtlasSubgroup( "2.G2(4)", 1 ), AtlasSubgroup( "2.J2.2", 1 ), PerfectGroup( 1209600, 3 )
Stored class fusions from this table:
2.G2(4), 2.J2.2, Isoclinic(2.J2.2), J2
Stored class fusions to this table:
2.A4 × S3, 2.A5, 2.(52:D12), 2.J2N2, 2.J2N3, 2A4 × A5, 2A5 × D10, 21+4−:2A5, 23+4:(3 × S3), 2 × U3(3), 7:12, (2 × 3.A6).2, (2 × L3(2)).2

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