Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A13

Name:
A13
Group order:
3113510400 = 29 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 11 ⋅ 13
Number of classes:
55
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13]
Maximal subgroups:
  Order Index Structure Name
1 239500800 13 A12 A12
2 39916800 78 S11 A11.2
3 10886400 286 (A10 × 3):2 (A10x3):2
4 4354560 715 (A9 × A4):2 (A9xA4):2
5 2419200 1287 (A8 × A5):2 (A8xA5):2
6 1814400 1716 (A7 × A6):2 (A7xA6):2
7 5616 554400 L3(3) L3(3)
8 5616 554400 L3(3) L3(3)
9 78 39916800 13:6 13:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
10 available
Group constructions in GAP:
AlternatingGroup( 13 ), AtlasGroup( "A13" ), AtlasStabilizer( "A14", "A14G1-p14B0" ), PrimitiveGroup( 13, 8 ), PrimitiveGroup( 78, 3 ), PrimitiveGroup( 286, 1 ), PrimitiveGroup( 715, 1 ), PrimitiveGroup( 1287, 1 ), PrimitiveGroup( 1716, 1 ), TransitiveGroup( 13, 8 )
Stored class fusions from this table:
A13.2, A14
Stored class fusions to this table:
2.A13, 13:6, (A7 × A6):2, (A8 × A5):2, (A9 × A4):2, (A10 × 3):2, S11, A12, L3(3)

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