Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A11

Name:
A11
Group order:
19958400 = 27 ⋅ 34 ⋅ 52 ⋅ 7 ⋅ 11
Number of classes:
31
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]
Maximal subgroups:
  Order Index Structure Name
1 1814400 11 A10 A10
2 362880 55 S9 A9.2
3 120960 165 (A8 × 3):2 (A8x3).2
4 60480 330 (A7 × A4):2 (A7xA4):2
5 43200 462 (A6 × A5):2 (A6xA5):2
6 7920 2520 M11 M11
7 7920 2520 M11 M11
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:
53 available
Group constructions in GAP:
AlternatingGroup( 11 ), AtlasGroup( "A11" ), AtlasStabilizer( "A12", "A12G1-p12B0" ), PrimitiveGroup( 11, 7 ), PrimitiveGroup( 55, 5 ), PrimitiveGroup( 165, 4 ), PrimitiveGroup( 330, 3 ), PrimitiveGroup( 462, 3 ), PrimitiveGroup( 2520, 8 ), TransitiveGroup( 11, 7 )
Stored class fusions from this table:
S11, A12
Stored class fusions to this table:
2.A11, (A6 × A5):2, (A7 × A4):2, (A8 × 3):2, S9, A10, A11Syl2, M11

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