Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 23:L3(2)

Name:
2^3:sl(3,2)
Group order:
1344 = 26 ⋅ 3 ⋅ 7
Number of classes:
11
InfoText value:
origin: CAS library, maximal subgroup of M22, test: 1.OR, JAMES, JAMES,n=3, and restricted characters decompose properly, constructions: AGL(3,2), tests: 1.o.r., pow[2,3,7]
Group constructions in GAP:
AGL( 3, 2 ), AtlasStabilizer( "A8", "A8G1-p15aB0" ), AtlasStabilizer( "A8", "A8G1-p15bB0" ), AtlasStabilizer( "M22", "M22G1-p330B0" ), AtlasSubgroup( "A8", 2 ), AtlasSubgroup( "A8", 3 ), AtlasSubgroup( "M22", 6 ), PerfectGroup( 1344, 1 ), PrimitiveGroup( 8, 3 ), SmallGroup( 1344, 11686 ), TransitiveGroup( 8, 48 ), TransitiveGroup( 14, 34 ), TransitiveGroup( 28, 153 ), TransitiveGroup( 28, 159 )
Stored class fusions from this table:
2 × 23:L3(2), A8, L3(2), M22, M23
Stored class fusions to this table:
21+3:L3(2), 23+3+3.L3(2), L3(2), P13/G1/L2/V1/ext2, P13/G1/L2/V1/ext3, P13/G1/L6/V1/ext2

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