Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.McL.2

Name:
3.McL.2
Group order:
5388768000 = 28 ⋅ 37 ⋅ 53 ⋅ 7 ⋅ 11
Number of classes:
54
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]
Maximal subgroups:
  Order Index Structure Name
1 2694384000 2 3.McL 3.McL
2 19595520 275 32.U4(3).23' 3_2.U4(3).2_3'
3 756000 7128 3.U3(5).2 3.U3(5).2
4 349920 15400 3.31+4:4S5 3.3^(1+4):4S5
5 349920 15400 35:(M10 × 2) 3^5:(M10x2)
6 241920 22275 (3 × L3(4).22).2 (3xL3(4).2_2).2
7 241920 22275 (2.A8 × 3).2 (2.A8x3).2
8 47520 113400 M11 × S3 M11xS3
9 18000 299376 3.McL.2N5 3.McL.2N5
10 6912 779625 3.22+4:(S3 × S3) 3.2^(2+4):(S3xS3)
Stored Sylow p normalizers:
p Order Index Structure Name
3 34992 154000 3.McL.2N3 3.McL.2N3
5 18000 299376 3.McL.2N5 3.McL.2N5
11 330 16329600 11:5 × S3 11:5xS3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
Atlas representations:
5 available
Group constructions in GAP:
AtlasGroup( "3.McL.2" ), AtlasStabilizer( "Ly", "LyG1-p9606125B0" ), AtlasSubgroup( "Ly", 2 )
Stored class fusions from this table:
Ly, McL.2
Stored class fusions to this table:
3.22+4:(S3 × S3), 3.31+4:4S5, 3.McL, 3.McL.2N3, 3.McL.2N5, 3.U3(5).2, 35:(M10 × 2), 32.U4(3).23', 11:5 × S3, (2.A8 × 3).2, (3 × L3(4).22).2, (3 × McLN2).2, M11 × S3

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