Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₃(11)

Name:

L3(11)

Group order:

212427600 = 2⁴ ⋅ 3 ⋅ 5² ⋅ 7 ⋅ 11³ ⋅ 19

Number of classes:

132

InfoText value:

origin: program of B. Hemkemeier and U. J"urgens for the construction of GL(n,q) character tables

Maximal subgroups:

	Order	Index	Structure	Name
1	1597200	133	112:(5 × 2L2(11).2)	11^2:(5x2L2(11).2)
2	1597200	133	112:(5 × 2L2(11).2)	11^2:(5x2L2(11).2)
3	1320	160930	L2(11).2	L2(11).2
4	600	354046	102:S3	10^2:S3
5	399	532400	133:3	133:3
6	168	1264450	L3(2)	L3(2)

Atlas representations:

19 available

Group constructions in GAP:

AtlasGroup( "L3(11)" ), PSL( 3, 11 ), PrimitiveGroup( 133, 1 )

Stored class fusions to this table:

10²:S₃, 11²:(5 × 2L₂(11).2), 133:3, L₂(11).2, L₃(2)

File created automatically by GAP on 9-May-2025.