Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L2(25)

Name:
L2(25)
Group order:
7800 = 23 ⋅ 3 ⋅ 52 ⋅ 13
Number of classes:
15
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13]
Maximal subgroups:
  Order Index Structure Name
1 300 26 52:12 5^2:12
2 120 65 S5 A5.2
3 120 65 S5 L2(25)M3
4 26 300 D26 D26
5 24 325 D24 D24
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
13 dec. matrix (PDF)
Group constructions in GAP:
AtlasStabilizer( "2F4(2)'", "TF42G1-p2304B0" ), AtlasSubgroup( "2F4(2)'", 4 ), AtlasSubgroup( "Suz", 16 ), POmega( -1, 4, 5 ), POmega( 3, 25 ), PSL( 2, 25 ), PSU( 2, 25 ), PSp( 2, 25 ), PerfectGroup( 7800, 1 ), PrimitiveGroup( 26, 1 ), PrimitiveGroup( 65, 1 ), PrimitiveGroup( 300, 1 ), PrimitiveGroup( 325, 6 ), TransitiveGroup( 26, 42 )
Stored class fusions from this table:
2F4(2)', L2(25).21, L2(25).22, L2(25).23, Suz
Stored class fusions to this table:
2.L2(25), 52:12, S5, D24, D26, S5

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