Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S4(5)

Name:
S4(5)
Group order:
4680000 = 26 ⋅ 32 ⋅ 54 ⋅ 13
Number of classes:
34
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Maximal subgroups:
  Order Index Structure Name
1 30000 156 51+2+:4A5 5^(1+2)+:4A5
2 30000 156 53:(2 × A5).2 5^3:(2xA5).2
3 15600 300 L2(25).22 L2(25).2_2
4 14400 325 2.(A5 × A5).2 h4
5 960 4875 24:A5 P1/G1/L1/V1/ext2
6 720 6500 S5 × S3 S5xS3
7 480 9750 (22 × A5):2 (2^2xA5):2
8 360 13000 A6 A6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
19 available
Group constructions in GAP:
AtlasGroup( "S4(5)" ), POmega( 5, 5 ), PSp( 4, 5 ), PrimitiveGroup( 156, 1 ), PrimitiveGroup( 156, 3 ), PrimitiveGroup( 300, 6 ), PrimitiveGroup( 325, 1 )
Stored class fusions from this table:
S4(5).2
Stored class fusions to this table:
2.S4(5), 53:(2 × A5).2, 51+2+:4A5, (22 × A5):2, A6, L2(25).22, 24:A5, S5 × S3, 2.(A5 × A5).2

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