Character Table info for ON
-
Name:
-
ON
-
Group order:
-
460815505920 = 29 ⋅ 34 ⋅ 5 ⋅ 73 ⋅ 11 ⋅ 19 ⋅ 31
-
Number of classes:
-
30
-
InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,19,31]
-
Maximal subgroups:
-
|
Order |
Index |
Structure |
Name |
1 |
3753792 |
122760 |
L3(7).2 |
L3(7).2 |
2 |
3753792 |
122760 |
L3(7).2 |
ONM2 |
3 |
175560 |
2624832 |
J1 |
J1 |
4 |
161280 |
2857239 |
42.L3(4).21 |
4_2.L3(4).2_1 |
5 |
25920 |
17778376 |
(32:4 × A6).2 |
ONM5 |
6 |
25920 |
17778376 |
34:2(1+4)D10 |
3^4:2^(1+4)D10 |
7 |
14880 |
30968784 |
L2(31) |
L2(31) |
8 |
14880 |
30968784 |
L2(31) |
ONM8 |
9 |
10752 |
42858585 |
43.L3(2) |
4^3.L3(2) |
10 |
7920 |
58183776 |
M11 |
M11 |
11 |
7920 |
58183776 |
M11 |
ONM11 |
12 |
2520 |
182863296 |
A7 |
A7 |
13 |
2520 |
182863296 |
A7 |
A7 |
-
Stored Sylow p normalizers:
-
-
Available Brauer tables:
-
-
Atlas representations:
-
12 available
-
Group constructions in GAP:
-
AtlasGroup( "ON" )
,
AtlasSubgroup( "ON.2", 1 )
-
Stored class fusions from this table:
-
ON.2
-
Stored class fusions to this table:
-
3.ON,
34:2(1+4)D10,
43.D8,
43.L3(2),
42.24:A5,
42.L3(4).21,
72:2.L2(7).2,
71+2:(D8 × 3),
11:10,
19:6,
31:15,
(32:4 × D10).2,
(42 × 2).23.S3,
(4 × 22).24.S3,
(72)b:2.L2(7).2,
A7,
J1,
L2(31),
L3(7).2,
M11,
NDG(ON, D8),
L3(7).2,
(32:4 × A6).2,
L2(31),
M11,
S4 × 32:4