Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3⁶:L₄(3)

Name:

3^6:L4(3)

Group order:

4421589120 = 2⁷ ⋅ 3¹² ⋅ 5 ⋅ 13

Number of classes:

111

InfoText value:

origin: Dixon's Algorithm, maximal subgroup of O8+(3), table is sorted w.r. to normal series 3^6.L4(3), tests: 1.o.r., pow[2,3,5,13]

Duplicates:

O8+(3)M8, O8+(3)M9

Group constructions in GAP:

AtlasStabilizer( "O8+(3)", "O8p3G1-p1120aB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1120bB0" ), AtlasStabilizer( "O8+(3)", "O8p3G1-p1120cB0" ), AtlasSubgroup( "O8+(3)", 7 ), PrimitiveGroup( 729, 468 )

Stored class fusions from this table:

L₄(3), O₈⁺(3)

Stored class fusions to this table:

L₄(3)

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