Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2³:7:3

Name:

2^3.7.3

Group order:

168 = 2³ ⋅ 3 ⋅ 7

Number of classes:

8

InfoText value:

origin: Ostermann, tests: 1.o.r., pow[2,3,7] Sylow 2 normalizer in sporadic Janko group J1

Group constructions in GAP:

AtlasStabilizer( "J1", "J1G1-p1045B0" ), AtlasStabilizer( "L2(8).3", "L28d3G1-p9B0" ), AtlasSubgroup( "J1", 2 ), PrimitiveGroup( 8, 2 ), SmallGroup( 168, 43 ), TransitiveGroup( 8, 36 ), TransitiveGroup( 14, 11 ), TransitiveGroup( 24, 283 ), TransitiveGroup( 28, 27 )

Stored class fusions from this table:

J₁, L₂(8).3

File created automatically by GAP on 6-May-2025.