Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2².[2⁸]:S₃

Name:

2^2.2^8:s3

Group order:

6144 = 2¹¹ ⋅ 3

Number of classes:

27

InfoText value:

origin: CAS library, maximal subgroup of 2F4(2)', normalizer of klein four group contained in class 2b structure:= 2^2.[2^8]:s3 [s3: symmetric group on 3 elements] 1st & 2nd orthogonality relations are satisfied symmetric squares decompose properly created august 1984 tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasStabilizer( "2F4(2)'", "TF42G1-p2925B0" ), AtlasSubgroup( "2F4(2)'", 5 )

Stored class fusions from this table:

²F₄(2)', 2².[2⁹]:S₃

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