Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for M11

Name:
M11
Group order:
7920 = 24 ⋅ 32 ⋅ 5 ⋅ 11
Number of classes:
10
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11]
Duplicates:
HSM9, M12M2, ONM11
Maximal subgroups:
  Order Index Structure Name
1 720 11 A6.23 A6.2_3
2 660 12 L2(11) L2(11)
3 144 55 32:Q8.2 3^2:Q8.2
4 120 66 S5 A5.2
5 48 165 2.S4 2.S4
Stored Sylow p normalizers:
p Order Index Structure Name
2 16 495 M11N2 M11N2
3 144 55 32:Q8.2 3^2:Q8.2
5 20 396 5:4 5:4
11 55 144 11:5 11:5
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
11 dec. matrix (PDF)
Atlas representations:
45 available
Group constructions in GAP:
AtlasGroup( "M11" ), AtlasStabilizer( "A11", "A11G1-p2520aB0" ), AtlasStabilizer( "A11", "A11G1-p2520bB0" ), AtlasStabilizer( "HS", "HSG1-p5600aB0" ), AtlasStabilizer( "HS", "HSG1-p5600bB0" ), AtlasStabilizer( "M12", "M12G1-p12aB0" ), AtlasStabilizer( "M12", "M12G1-p12bB0" ), AtlasStabilizer( "M23", "M23G1-p1288B0" ), AtlasStabilizer( "McL", "McLG1-p113400B0" ), AtlasSubgroup( "HS", 8 ), AtlasSubgroup( "HS", 9 ), AtlasSubgroup( "M12", 1 ), AtlasSubgroup( "M12", 2 ), AtlasSubgroup( "M23", 5 ), AtlasSubgroup( "McL", 11 ), AtlasSubgroup( "ON", 10 ), AtlasSubgroup( "ON", 11 ), MathieuGroup( 11 ), PerfectGroup( 7920, 1 ), PrimitiveGroup( 11, 6 ), PrimitiveGroup( 12, 1 ), PrimitiveGroup( 55, 4 ), PrimitiveGroup( 66, 2 ), PrimitiveGroup( 165, 3 ), TransitiveGroup( 11, 6 ), TransitiveGroup( 12, 272 ), TransitiveGroup( 22, 22 )
Stored class fusions from this table:
35:M11, A11, B, HS, M12, M23, McL, ON
Stored class fusions to this table:
2.S4, 32:Q8.2, 35:M11, 36.M11, 32+5+10.(M11 × 2S4), 5:4, 11:5, S5, A6.23, L2(11), M11N2, P48/G1/L1/V1/ext2, P48/G1/L1/V2/ext2, S4

File created automatically by GAP on 20-May-2025.