Atlas of finite groups: maximal subgroups and ordinary characters for simple groups

John Horton Conway9780198531999, 0-19-853199-0

This atlas covers groups from the families of the classification of finite simple groups. Recently updated incorporating corrections

---

Table of contents :
Atlas of Finite Groups……Page 0
Contents……Page 3
Introduction……Page 5
1. A survey of the finite simple groups……Page 7
2. The classical groups……Page 10
3. The Chevalley and twisted Chevalley groups……Page 14
4. How to read this ATLAS: the `constructions’ sections……Page 17
5. How to read this ATLAS: information about subgroups and their structure……Page 19
6. How to read this ATLAS: The map of an ATLAS character table……Page 21
7. How to read this ATLAS: character tables……Page 25
8. Concluding remarks……Page 31
The Groups……Page 35
A5≅L2(4)≅L2(5)……Page 36
L3(2)≅L2(7)……Page 37
A6≅L2(9)≅S4(2)’……Page 38
L2(8)≅R(3)’……Page 40
L2(11)……Page 41
L2(13)……Page 42
L2(17)……Page 43
A7……Page 44
L2(19)……Page 45
L2(16)……Page 46
L3(3)……Page 47
U3(3)≅G2(2)’……Page 48
L2(23)……Page 49
L2(25)……Page 50
L2(27)……Page 52
L2(29)……Page 54
L2(31)……Page 55
A8≅L4(2)……Page 56
L3(4)……Page 57
U4(2)≅S4(3)……Page 60
Sz(8)……Page 62
L2(32)……Page 63
U3(4)……Page 64
M12……Page 65
U3(5)……Page 68
J1……Page 70
A9……Page 71
L3(5)……Page 72
M22……Page 73
J2=HJ=F5-……Page 76
S4(4)……Page 77
S6(2)……Page 80
A10……Page 82
L3(7)……Page 84
U4(3)……Page 86
G2(3)……Page 94
S4(5)……Page 95
U3(8)……Page 98
U3(7)……Page 100
L4(3)……Page 102
L5(2)……Page 104
M23……Page 105
U5(2)……Page 106
2F4(2)’……Page 108
A11……Page 109
L3(9)……Page 112
U3(9)……Page 113
HS……Page 114
J3……Page 116
U3(11)……Page 118
O8+(2)……Page 119
O8-(2)……Page 122
3D4(2)……Page 123
A12……Page 125
M24……Page 128
G2(4)……Page 131
McL……Page 134
A13……Page 136
He≅F7……Page 138
O7(3)……Page 140
S6(3)……Page 144
G2(5)……Page 148
U6(2)……Page 149
R(27)……Page 156
S8(2)≅B4(2)≅O9(2)……Page 157
Ru……Page 160
Suz……Page 162
O’N……Page 166
Co3……Page 168
O8+(3)……Page 170
O8-(3)……Page 175
O10+(2)……Page 176
O10-(2)……Page 181
Co2……Page 188
Fi22……Page 190
HN=F5+……Page 198
F4(2)……Page 201
Ly……Page 208
Th=F3|3……Page 210
Fi23……Page 211
F2-=Co1……Page 215
J4……Page 222
E6(2)……Page 225
Fi24’=F3+……Page 234
B=F2+……Page 242
E7(2)……Page 253
M=F1……Page 254
E8(2)……Page 269
Partitions and the classes and characters of Sn……Page 270
Involvement of sporadic groups in one another……Page 272
Order of simple groups……Page 273
Bibliography……Page 277
Index of groups……Page 286