Character Table info for U3(5)
-
Name:
-
U3(5)
-
Group order:
-
126000 = 24 ⋅ 32 ⋅ 53 ⋅ 7
-
Number of classes:
-
14
-
InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
-
Maximal subgroups:
-
|
Order |
Index |
Structure |
Name |
1 |
2520 |
50 |
A7 |
A7 |
2 |
2520 |
50 |
A7 |
U3(5)M2 |
3 |
2520 |
50 |
A7 |
U3(5)M3 |
4 |
1000 |
126 |
5(1+2)+:8 |
5^(1+2)+:8 |
5 |
720 |
175 |
A6.23 |
A6.2_3 |
6 |
720 |
175 |
A6.23 |
U3(5)M6 |
7 |
720 |
175 |
A6.23 |
U3(5)M7 |
8 |
240 |
525 |
2.A5.2 |
2.A5.2 |
-
Stored Sylow p normalizers:
-
p |
Order |
Index |
Structure |
Name |
3 |
72 |
1750 |
32:Q8 |
3^2:Q8 |
-
Available Brauer tables:
-
-
Atlas representations:
-
11 available
-
Group constructions in GAP:
-
AtlasGroup( "U3(5)" )
,
AtlasStabilizer( "McL", "McLG1-p7128B0" )
,
AtlasSubgroup( "McL", 4 )
,
PSU( 3, 5 )
,
PerfectGroup( 126000, 1 )
,
PrimitiveGroup( 50, 1 )
,
PrimitiveGroup( 126, 3 )
,
PrimitiveGroup( 175, 3 )
,
PrimitiveGroup( 525, 1 )
-
Stored class fusions from this table:
-
McL,
U3(5).2,
U3(5).3,
U3(5).3.2
-
Stored class fusions to this table:
-
2.A5.2,
3.U3(5),
32:Q8,
5(1+2)+:8,
A6.23,
A7,
M11N2,
A7,
A7,
A6.23,
A6.23