Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2^6:L3(2)

Name:

2^6:L3(2)

Group order:

10752 = 2⁹ ⋅ 3 ⋅ 7

Number of classes:

24

InfoText value:

origin: Dixon's Algorithm, 5th maximal subgroup of S6(2)

Main table:

P11/G2/L1/V1/ext2

Group constructions in GAP:

AtlasStabilizer( "S6(2)", "S62G1-p135B0" ), AtlasSubgroup( "S6(2)", 5 ), PerfectGroup( 10752, 8 ), TransitiveGroup( 14, 50 ), TransitiveGroup( 28, 388 ), TransitiveGroup( 28, 390 )

Stored class fusions from this table:

L₃(2), S₆(2)

Stored class fusions to this table:

2.2⁶.L₃(2), 2⁶:S₄a, 2⁶:S₄b

File created automatically by GAP on 20-May-2025.