Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L6(2)

Name:
L6(2)
Group order:
20158709760 = 215 ⋅ 34 ⋅ 5 ⋅ 72 ⋅ 31
Number of classes:
60
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,31]
Maximal subgroups:
  Order Index Structure Name
1 319979520 63 25:L5(2) 2^5:L5(2)
2 319979520 63 25:L5(2) 2^5:L5(2)
3 30965760 651 P2(L6(2)) P2L62
4 30965760 651 P2(L6(2)) P2L62
5 14450688 1395 P3(L6(2)) P3L62
6 1451520 13888 S6(2) S6(2)
7 362880 55552 3.L3(4).3.22 3.L3(4).3.2_2
8 56448 357120 L3(2) ≀ 2 L3(2)wr2
9 10584 1904640 (7 × L2(8)).3 (7xL2(8)).3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
31 dec. matrix (PDF)
Atlas representations:
25 available
Group constructions in GAP:
AtlasGroup( "L6(2)" ), PSL( 6, 2 ), PrimitiveGroup( 63, 6 ), PrimitiveGroup( 651, 1 ), PrimitiveGroup( 1395, 1 )
Stored class fusions from this table:
26:L6(2), L6(2).2
Stored class fusions to this table:
25:L5(2), 26:L6(2), 3.L3(4).3.22, (7 × L2(8)).3, L3(2) ≀ 2, P2(L6(2)), P3(L6(2)), S6(2)

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