Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Co3

Name:
Co3
Group order:
495766656000 = 210 ⋅ 37 ⋅ 53 ⋅ 7 ⋅ 11 ⋅ 23
Number of classes:
42
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,23]
Maximal subgroups:
  Order Index Structure Name
1 1796256000 276 McL.2 McL.2
2 44352000 11178 HS HS
3 13063680 37950 U4(3).(22)133 U4(3).(2^2)_{133}
4 10200960 48600 M23 M23
5 3849120 128800 35:(2 × M11) 3^5:(2xm11)
6 2903040 170775 2.S6(2) 2.S6(2)
7 756000 655776 U3(5).3.2 U3(5).3.2
8 699840 708400 31+4+:4S6 3^1+4:4s6
9 322560 1536975 24.A8 2^4.a8
10 241920 2049300 L3(4).D12 L3(4).D12
11 190080 2608200 2 × M12 2xm12
12 27648 17931375 22.[27*32].S3 2^2.[2^7*3^2].S3
13 9072 54648000 S3 × L2(8).3 s3xpsl(2,8).3
14 1440 344282400 A4 × S5 a4xs5
Stored Sylow p normalizers:
p Order Index Structure Name
2 1024 484147125 Co3N2 Co3N2
3 69984 7084000 Co3N3 Co3N3
5 6000 82627776 51+2:(24:2) 5^(1+2):(24:2)
7 252 1967328000 S3 × 7:6 S3x7:6
11 110 4506969600 2 × 11:5 2x11:5
23 253 1959552000 23:11 23:11
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
23 dec. matrix (PDF)
Atlas representations:
39 available
Group constructions in GAP:
AtlasGroup( "Co3" ), AtlasStabilizer( "Co1", "Co1G1-p8386560B0" ), AtlasSubgroup( "Co1", 4 ), PrimitiveGroup( 276, 3 )
Stored class fusions from this table:
Co1
Stored class fusions to this table:
2.23.25.S3, 2.24.24.S3, 2.26.L3(2), 2.(25:S6), 2.S6(2), 22.[27*32].S3, 23.(2 × 23.L3(2)), 24.A8, 2 × 11:5, 2 × M12, 31+4+:4S6, 35:(2 × M11), 4.24.S5, 5:4 × A5, 51+2:(24:2), 23:11, (22 × 4).25.S3, (2 × 42).24.S3, Co3N2, Co3N3, HS, L3(4).D12, M23, McL, McL.2, S3 × 7:6, U3(5).2, U3(5).3.2, U4(3), U4(3).(22)133, A4 × S5, c3d2, S3 × L2(8).3

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