Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.McL

Name:
3.McL
Group order:
2694384000 = 27 ⋅ 37 ⋅ 53 ⋅ 7 ⋅ 11
Number of classes:
66
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11] 3rd power map determined only up to table automorphism (35,36)
Maximal subgroups:
  Order Index Structure Name
1 9797760 275 32.U4(3) 3_2.U4(3)
2 1330560 2025 3.M22 3.M22
3 1330560 2025 3.M22 3.McLM3
4 378000 7128 3.U3(5) 3.U3(5)
5 174960 15400 3.31+4:2S5 3.3^(1+4):2S5
6 174960 15400 35:M10 3^5:M10
7 120960 22275 3 × L3(4).22 3xL3(4).2_2
8 120960 22275 3 × 2.A8 3x2.A8
9 120960 22275 3.24:A7 3.2^4:a7
10 120960 22275 3.24:A7 3.McLM10
11 23760 113400 3 × M11 3xM11
12 9000 299376 3 × 51+2:3:8 3x5^(1+2):3:8
Stored Sylow p normalizers:
p Order Index Structure Name
2 384 7016625 3 × McLN2 3xMcLN2
3 17496 154000 3.34.32.Q8 3.3^4.3^2.Q8
5 9000 299376 3 × 51+2:3:8 3x5^(1+2):3:8
7 126 21384000 6 × 7:3 6x7:3
11 165 16329600 3 × 11:5 3x11:5
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:
17 available
Group constructions in GAP:
AtlasGroup( "3.McL" ), AtlasSubgroup( "3.McL.2", 1 )
Stored class fusions from this table:
3.McL.2, McL
Stored class fusions to this table:
3.24:A7, 3.22+4:(3 × 3):2, 3.34.32.Q8, 3.31+4:2S5, 3.M22, 3.M22, 3.24:A7, 3.U3(5), 35:M10, 32.U4(3), 3 × 2(A4 × A4).22, 3 × 2.A8, 3 × 51+2:3:8, 3 × 11:5, 3 × L3(4).22, 3 × M11, 3 × M22C2A, 3 × McLN2, 6 × 7:3

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