Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.Suz

Name:
2.Suz
Group order:
896690995200 = 214 ⋅ 37 ⋅ 52 ⋅ 7 ⋅ 11 ⋅ 13
Number of classes:
76
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13]
Maximal subgroups:
  Order Index Structure Name
1 503193600 1782 2.G2(4) 2.G2(4)
2 39191040 22880 Isoclinic(62.U4(3).23') Isoclinic(6_2.U4(3).2_3')
3 27371520 32760 2 × U5(2) 2xU5(2)
4 6635520 135135 2.21+6.U4(2) 2.SuzM4
5 3849120 232960 2 × 35:M11 2x3^5:M11
6 2419200 370656 2.J2.2 2.J2.2
7 2211840 405405 (2.24.26):3A6 2.SuzM7
8 967680 926640 2.(A4 × L3(4)).2 2.(A4xL3(4)).2
9 737280 1216215 2.(22+8:(A5 × S3)) 2.SuzM9
10 380160 2358720 Isoclinic(2.M12.2) Isoclinic(2.M12.2)
11 279936 3203200 2.(32+4:2(A4 × 22).2) 2.SuzM11
12 86400 10378368 (A6 × 2.A5).2 (A6x2.A5).2
13 51840 17297280 (32:4 × 2.A6).2 (3^2:4x2.A6).2
14 22464 39916800 (2 × L3(3)).2 (2xL3(3)).2
15 22464 39916800 (2 × L3(3)).2 (2xL3(3)).2
16 15600 57480192 2.L2(25) 2.L2(25)
17 5040 177914880 2.A7 2.A7
Stored Sylow p normalizers:
p Order Index Structure Name
2 49152 18243225 2.SuzN2 2.SuzN2
3 69984 12812800 2 × 35:(32:SD16) 2x3^5:(3^2:SD16)
5 1200 747242496 2.J2.2N5 2.J2.2N5
7 1008 889574400 (SL(2, 3) × 7:3).2 (SL(2,3)x7:3).2
11 220 4075868160 11:20 11:20
13 156 5748019200 (2 × 13).6 (2x13).6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
4 available
Group constructions in GAP:
AtlasGroup( "2.Suz" ), AtlasSubgroup( "2.Suz.2", 1 )
Stored class fusions from this table:
2.Suz.2, Suz
Stored class fusions to this table:
2.(A4 × L3(4)).2, 2.(D8 × 32:Q8), 2.A7, 2.G2(4), 2.J2.2, 2.J2.2N5, 2.L2(25), 2.21+6.U4(2), (2.24.26):3A6, 2.(22+8:(A5 × S3)), 2.(32+4:2(A4 × 22).2), 2.SuzN2, 2 × 35:(32:SD16), 2 × 35:M11, 2 × U5(2), 6.Suz, 11:20, (2.A5 × D10).2, (2.D10 × A6).2, (2 × 13).6, (2 × L3(3)).2, (32:4 × 2.A6).2, (A6 × 2.A5).2, (SL(2, 3) × 7:3).2, Isoclinic(2.M12.2), Isoclinic(62.U4(3).23')

File created automatically by GAP on 13-Mar-2024.