Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Suz.2

Name:
Suz.2
Group order:
896690995200 = 214 ⋅ 37 ⋅ 52 ⋅ 7 ⋅ 11 ⋅ 13
Number of classes:
68
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13], constructions: Aut(Suz)
Maximal subgroups:
  Order Index Structure Name
1 448345497600 2 Suz Suz
2 503193600 1782 G2(4).2 G2(4).2
3 39191040 22880 32.U4(3).(22)133 3_2.U4(3).(2^2)_{133}
4 27371520 32760 U5(2).2 U5(2).2
5 6635520 135135 21+6.U4(2).2 2^(1+6)_-.U4(2).2
6 3849120 232960 35:(M11 × 2) 3^5:(M11x2)
7 2419200 370656 J2.2 × 2 J2.2x2
8 2211840 405405 24+6:3S6 2^(4+6):3S6
9 967680 926640 (A4 × L3(4):23):2 (A4xL3(4):2_3):2
10 737280 1216215 22+8:(S5 × S3) 2^(2+8):(S5xS3)
11 380160 2358720 M12.2 × 2 M12.2x2
12 279936 3203200 32+4:2(S4 × D8) 3^(2+4):2(S4xD8)
13 86400 10378368 (A6:22 × A5).2 (A6:2_2xA5).2
14 51840 17297280 (32:8 × A6).2 (3^2:8xA6).2
15 15600 57480192 L2(25).22 L2(25).2_2
16 5040 177914880 S7 A7.2
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:
18 available
Group constructions in GAP:
AtlasGroup( "Suz.2" ), AutomorphismGroup( AtlasGroup( "Suz" ) ), PrimitiveGroup( 1782, 2 )
Stored class fusions to this table:
2.Suz.2, 21+6.U4(2).2, 22+8:(S5 × S3), 24+6:3S6, 3.Suz.2, 35:(M11 × 2), 32+4:2(S4 × D8), 32.U4(3).(22)133, 6.Suz.2, 13:12, (32:8 × A6).2, (A4 × L3(4):23):2, (A6:22 × A5).2, S7, G2(4).2, Isoclinic(2.Suz.2), Isoclinic(6.Suz.2), J2.2 × 2, L2(25).22, LyN3, M12.2 × 2, Suz, U5(2).2

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