Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3¹⁺⁸.2¹⁺⁶.3¹⁺².2S₄

Name:

3^(1+8).2^(1+6).3^(1+2).2S4

Group order:

3265173504 = 2¹¹ ⋅ 3¹³

Number of classes:

181

InfoText value:

origin: Dixon's Algorithm, maximal subgroup of Fi23, characters and classes are sorted w.r. to normal series given by 3.3^8.2.2^6.3.3^2.2.2^2.3.2, tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasSubgroup( "Fi23", 7 ), CTblLib.IndividualGroupConstruction( "3^(1+8).2^(1+6).3^(1+2).2S4" )

Stored class fusions from this table:

2¹⁺⁶.3¹⁺².2S₄, Fi₂₃

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