Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for [2⁹].S₃b

Name:

[2^9].S3b

Group order:

3072 = 2¹⁰ ⋅ 3

Number of classes:

48

InfoText value:

normalizer of a radical 2-subgroup in M24 and He, origin: Dixon's Algorithm

Duplicates:

NRS(M24,[2^9]b)

Group constructions in GAP:

TransitiveGroup( 16, 1519 ), TransitiveGroup( 24, 5501 ), TransitiveGroup( 24, 5502 ), TransitiveGroup( 24, 6007 ), TransitiveGroup( 24, 6008 ), TransitiveGroup( 24, 7063 ), TransitiveGroup( 24, 7064 ), TransitiveGroup( 24, 7065 ), TransitiveGroup( 24, 7066 ), TransitiveGroup( 24, 7071 ), TransitiveGroup( 24, 7074 ), TransitiveGroup( 24, 7078 ), TransitiveGroup( 24, 7086 ), TransitiveGroup( 24, 7119 ), TransitiveGroup( 24, 7122 ), TransitiveGroup( 24, 7125 ), TransitiveGroup( 24, 7128 )

Stored class fusions from this table:

He, M₂₄, S₃

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