Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 7²:2L₂(7)

Name:

7^2:2psl(2,7)

Group order:

16464 = 2⁴ ⋅ 3 ⋅ 7³

Number of classes:

18

InfoText value:

origin: CAS library, maximal subgroup of He and M, test: 1.OR, JAMES, JAMES,n=3, and restricted characters decompose properly. tests: 1.o.r., pow[2,3,7]

Group constructions in GAP:

AtlasGroup( "7^2:2.L2(7)" ), AtlasStabilizer( "He", "HeG1-p244800B0" ), AtlasSubgroup( "He", 6 ), PerfectGroup( 16464, 1 ), PrimitiveGroup( 49, 30 )

Stored class fusions from this table:

2.L₃(2), 7²:2.L₂(7).2, He, M

Stored class fusions to this table:

7¹⁺².Sp(2, 7)

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