Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for M23

Name:
M23
Group order:
10200960 = 27 ⋅ 32 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 23
Number of classes:
17
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 443520 23 M22 M22
2 40320 253 L3(4).22 L3(4).2_2
3 40320 253 24:A7 2^4:a7
4 20160 506 A8 A8
5 7920 1288 M11 M11
6 5760 1771 24:(3 × A5):2 2^4:(3xA5).2
7 253 40320 23:11 23:11
Stored Sylow p normalizers:
p Order Index Structure Name
2 128 79695 24:D8 2^4:D8
3 144 70840 32:Q8.2 3^2:Q8.2
5 60 170016 (3 × D10).2 (3xD10).2
7 42 242880 2 × 7:3 2x7:3
11 55 185472 11:5 11:5
23 253 40320 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:
66 available
Group constructions in GAP:
AtlasGroup( "M23" ), AtlasStabilizer( "Co3", "Co3G1-p48600B0" ), AtlasStabilizer( "M24", "M24G1-p24B0" ), AtlasSubgroup( "Co2", 9 ), AtlasSubgroup( "Co3", 4 ), AtlasSubgroup( "M24", 1 ), MathieuGroup( 23 ), PrimitiveGroup( 23, 5 ), PrimitiveGroup( 253, 4 ), PrimitiveGroup( 253, 5 ), PrimitiveGroup( 506, 1 ), PrimitiveGroup( 1288, 1 ), PrimitiveGroup( 1771, 1 ), TransitiveGroup( 23, 5 )
Stored class fusions from this table:
Co2, Co3, M24
Stored class fusions to this table:
211.M23, 23.S4v1, 23:L3(2), 24:(3 × A5):2, 24:D8, 24:A7, 22+4:(3 × 3):2, 2 × 7:3, 32:Q8.2, 11:5, 23:11, (3 × D10).2, (A5 × 3):2, A8, L3(4).22, M11, M22, M22C2A, M23C2A

File created automatically by GAP on 6-May-2025.