Character Table info for M23
-
Name:
-
M23
-
Group order:
-
10200960 = 27 ⋅ 32 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 23
-
Number of classes:
-
17
-
InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,23]
-
Maximal subgroups:
-
|
Order |
Index |
Structure |
Name |
1 |
443520 |
23 |
M22 |
M22 |
2 |
40320 |
253 |
L3(4).22 |
L3(4).2_2 |
3 |
40320 |
253 |
24:A7 |
2^4:a7 |
4 |
20160 |
506 |
A8 |
A8 |
5 |
7920 |
1288 |
M11 |
M11 |
6 |
5760 |
1771 |
24:(3 × A5):2 |
2^4:(3xA5).2 |
7 |
253 |
40320 |
23:11 |
23:11 |
-
Stored Sylow p normalizers:
-
-
Available Brauer tables:
-
-
Atlas representations:
-
66 available
-
Group constructions in GAP:
-
AtlasGroup( "M23" )
,
AtlasStabilizer( "Co3", "Co3G1-p48600B0" )
,
AtlasStabilizer( "M24", "M24G1-p24B0" )
,
AtlasSubgroup( "Co2", 9 )
,
AtlasSubgroup( "Co3", 4 )
,
AtlasSubgroup( "M24", 1 )
,
MathieuGroup( 23 )
,
PrimitiveGroup( 23, 5 )
,
PrimitiveGroup( 253, 4 )
,
PrimitiveGroup( 253, 5 )
,
PrimitiveGroup( 506, 1 )
,
PrimitiveGroup( 1288, 1 )
,
PrimitiveGroup( 1771, 1 )
,
TransitiveGroup( 23, 5 )
-
Stored class fusions from this table:
-
Co2,
Co3,
M24
-
Stored class fusions to this table:
-
211.M23,
23.S4v1,
23:L3(2),
24:(3 × A5):2,
24:D8,
24:A7,
22+4:(3 × 3):2,
2 × 7:3,
32:Q8.2,
11:5,
23:11,
(3 × D10).2,
(A5 × 3):2,
A8,
L3(4).22,
M11,
M22,
M22C2A,
M23C2A