Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.S6(2)

Name:
2.S6(2)
Group order:
2903040 = 210 ⋅ 34 ⋅ 5 ⋅ 7
Number of classes:
43
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Duplicates:
2.O7(3)M8, 2.O8+(2)M3
Maximal subgroups:
  Order Index Structure Name
1 103680 28 2.U4(2).2 2.U4(2).2
2 80640 36 Isoclinic(2.A8.2) Isoclinic(2.A8.2)
3 46080 63 2.(25:S6) 2.(2^5:S6)
4 24192 120 2 × U3(3).2 2xU3(3).2
5 21504 135 2.26.L3(2) 2.2^6.L3(2)
6 9216 315 22.[26].(S3 × S3) 2^2.[2^6].(S3xS3)
7 8640 336 2.(S3 × S6) 2.(S3xS6)
8 3024 960 L2(8):3 × 2 L2(8):3x2
Stored Sylow p normalizers:
p Order Index Structure Name
2 1024 2835 Co3N2 Co3N2
3 648 4480 2 × 33:(S3 × 2) 2x3^3:(S3x2)
5 240 12096 2.(S3 × 5:4) 2.(S3x5:4)
7 84 34560 2 × 7:6 2x7:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
12 available
Group constructions in GAP:
AtlasGroup( "2.S6(2)" ), AtlasStabilizer( "Co3", "Co3G1-p170775B0" ), AtlasSubgroup( "2.O7(3)", 7 ), AtlasSubgroup( "Co3", 6 )
Stored class fusions from this table:
2.O7(3), 2.O8+(2), Co3, S6(2), S6(2)
Stored class fusions to this table:
2.26.L3(2), 2.(25:S6), 2.(33:(S4 × 2)), 2.(S3 × 5:4), 2.(S3 × S6), 2.U4(2).2, 22.[26].(S3 × S3), 2 × 33:(S3 × 2), 2 × 31+2+:2S4, 2 × 7:6, 2 × U3(3).2, Co3N2, Isoclinic(2.A8.2), L2(8):3 × 2

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