Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁴:(S₃ × S₃)

Name:

2^4:(S3xS3)

Group order:

576 = 2⁶ ⋅ 3²

Number of classes:

16

InfoText value:

origin: CAS library, names:=mo61p; m6[1]+ order: 2^6.3^2 = 576 number of classes: 16 source:dye, r.h. the classes and characters of certain maximal and other subgroups of o 2n+2(2) ann.mat.pura appl.(4) 107 (1975), 13-47 comments:semidirect product of an elementary abelian group of order 2^4 and o4+, table blown up using cas-system tests: 1.o.r., pow[2,3]

Group constructions in GAP:

PrimitiveGroup( 16, 7 ), SmallGroup( 576, 8654 ), TransitiveGroup( 8, 45 ), TransitiveGroup( 12, 161 ), TransitiveGroup( 12, 163 ), TransitiveGroup( 12, 165 ), TransitiveGroup( 16, 1032 ), TransitiveGroup( 16, 1034 ), TransitiveGroup( 18, 179 ), TransitiveGroup( 18, 180 ), TransitiveGroup( 18, 185 ), TransitiveGroup( 24, 1490 ), TransitiveGroup( 24, 1492 ), TransitiveGroup( 24, 1493 ), TransitiveGroup( 24, 1494 ), TransitiveGroup( 24, 1495 ), TransitiveGroup( 24, 1503 ), TransitiveGroup( 24, 1504 )

Stored class fusions from this table:

A₈, (S₄ × S₄):2

Stored class fusions to this table:

2(A₄ × A₄).2²

File created automatically by GAP on 6-May-2025.