Character Table info for U3(4).4
-
Name:
-
U3(4).4
-
Group order:
-
249600 = 28 ⋅ 3 ⋅ 52 ⋅ 13
-
Number of classes:
-
22
-
InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13],
constructions: Aut(U3(4))
-
Some maximal subgroups:
-
-
Stored Sylow p normalizers:
-
p |
Order |
Index |
Structure |
Name |
5 |
600 |
416 |
52:(4 × S3) |
5^2:(4xS3) |
-
Available Brauer tables:
-
-
Atlas representations:
-
27 available
-
Group constructions in GAP:
-
AtlasGroup( "U3(4).4" )
,
AutomorphismGroup( AtlasGroup( "U3(4)" ) )
,
PrimitiveGroup( 65, 5 )
,
PrimitiveGroup( 208, 3 )
,
PrimitiveGroup( 416, 3 )
,
PrimitiveGroup( 1600, 19 )
-
Stored class fusions from this table:
-
G2(4).2,
M
-
Stored class fusions to this table:
-
52:(4 × S3),
U3(4),
U3(4).2