GAP Character Table Library

Character Table Info for McL

Group Order:

898128000 = 27 36 53 7 11

Number of Classes:

24

InfoText Value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]

Maximal subgroups:

Order Index Name
3265920 275 U4(3)
443520 2025 M22
443520 2025 McLM3
126000 7128 U3(5)
58320 15400 3^(1+4):2S5
58320 15400 3^4:m10
40320 22275 L3(4).22
40320 22275 2.A8
40320 22275 2^4:a7
40320 22275 McLM10
7920 113400 M11
3000 299376 5^(1+2):3:8

Stored Sylow Normalizers:

Prime Order Index Name
2 128 7016625 McLN2
3 5832 154000 3^4:(3^2:Q8)
5 3000 299376 5^(1+2):3:8
7 42 21384000 2x7:3
11 55 16329600 11:5

Stored class fusions from this table:

Name
Co2
Co3
McL.2

Stored class fusions to this table:

Name
2.A8
2x7:3
L3(4).22
M11
M22
McLM3
2^4:a7
McLM10
2^(1+3):L3(2)
2^(2+4):(3x3):2
2^(1+1+2+2):S3
2^(2+4).S3
3^(1+4):2S5
3^4:m10
3^4.3^2.Q8
3.McL
3^4:(3^2:Q8)
5^(1+2):3:8
McLN2
11:5
U4(3)
U3(5)


File created automatically by GAP on 15-Oct-2003.