Character Table info for L3(9)
-
Name:
-
L3(9)
-
Group order:
-
42456960 = 27 ⋅ 36 ⋅ 5 ⋅ 7 ⋅ 13
-
Number of classes:
-
90
-
InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13]
-
Maximal subgroups:
-
|
Order |
Index |
Structure |
Name |
1 |
466560 |
91 |
34:GL2(9) |
3^4:GL2(9) |
2 |
466560 |
91 |
34:GL2(9) |
3^4:GL2(9) |
3 |
6048 |
7020 |
U3(3) |
U3(3) |
4 |
5616 |
7560 |
L3(3) |
L3(3) |
5 |
720 |
58968 |
A6.22 |
A6.2_2 |
6 |
384 |
110565 |
82:S3 |
8^2:S3 |
7 |
273 |
155520 |
91:3 |
91:3 |
-
Available Brauer tables:
-
-
Group constructions in GAP:
-
PSL( 3, 9 )
,
PrimitiveGroup( 91, 7 )
-
Stored class fusions from this table:
-
L3(9).21,
L3(9).22,
L3(9).23
-
Stored class fusions to this table:
-
34:GL2(9),
82:S3,
91:3,
A6.22,
L3(3),
U3(3)