Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁵⁺⁸:(S₃ × A₆)

Name:

2^(5+8):(S3xA6)

Group order:

17694720 = 2¹⁷ ⋅ 3³ ⋅ 5

Number of classes:

106

InfoText value:

origin: Dixon's Algorithm, 10th maximal subgroup of Fi22, table sorted w.r. to normal series given by 2^4.2.2^8.3.2.A6, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasSubgroup( "Fi22", 10 )

Stored class fusions from this table:

2⁵⁺⁸:(S₃ × S₆), Fi₂₂

Stored class fusions to this table:

2¹⁺⁵⁺⁸.(S₃ × A₆), 2⁵⁺⁸:(S₃ × 3.A₆), f₂₂s₂

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