Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Fi22

Name:
Fi22
Group order:
64561751654400 = 217 ⋅ 39 ⋅ 52 ⋅ 7 ⋅ 11 ⋅ 13
Number of classes:
65
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Duplicates:
Fi22, Fi22
Maximal subgroups:
  Order Index Structure Name
1 18393661440 3510 2.U6(2) 2.U6(2)
2 4585351680 14080 O7(3) O7(3)
3 4585351680 14080 O7(3) Fi22M3
4 1045094400 61776 O8+(2).3.2 O8+(2).3.2
5 454164480 142155 210:M22 2^10:m22
6 92897280 694980 26:S6(2) 2^6:s6f2
7 53084160 1216215 (2 × 21+8):U4(2):2 (2x2^(1+8)):U4(2):2
8 39191040 1647360 S3 × U4(3).22 S3xU4(3).2_2
9 17971200 3592512 2F4(2)' 2F4(2)'
10 17694720 3648645 25+8:(S3 × A6) 2^(5+8):(S3xA6)
11 5038848 12812800 31+6:23+4:32:2 3^(1+6):2^(3+4):3^2:2
12 3628800 17791488 S10 A10.2
13 3628800 17791488 S10 A10.2
14 95040 679311360 M12 M12
Stored Sylow p normalizers:
p Order Index Structure Name
2 131072 492567075 f22s2 f22s2
3 78732 820019200 Fi22N3 Fi22N3
5 2400 26900729856 52:4S4 Fi22N5
7 252 256197427200 S3 × 7:6 S3x7:6
11 110 586925015040 2 × 11:5 2x11:5
13 78 827714764800 13:6 13:6
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:
24 available
Group constructions in GAP:
AtlasGroup( "Fi22" ), AtlasSubgroup( "Fi22.2", 1 ), PrimitiveGroup( 3510, 1 )
Stored class fusions from this table:
2E6(2), Fi22.2
Stored class fusions to this table:
2.Fi22, 2.U6(2), 2F4(2)', 26.25.S6, 26:S6(2), 210.22.22.S4, 210.23.L3(2), 210.23.S4, 210.24.S5, 210:M22, 25+8:(2 × A6), 25+8:(2 × S4), 25+8:(S3 × A6), 25+8:(S3 × D8), 25+8:(S3 × S4), 2 × 2.Fi22, 2 × 6.Fi22, 2 × 11:5, 3.Fi22, 35.33.(2 × S4), 35.31+2.2.S4, 35:U4(2):2, 31+6:23+4:32:2, 33+3:L3(3), 3(3+3)b:L3(3), 5:4 × S5, 6.Fi22, 13:6, (2 × 21+8):U4(2):2, (2 × 21+8+).2.24.(S3 × S3), (31+6.3)a.2.S4, (31+6.3)b.2.S4, S10, O7(3), Fi22N3, 52:4S4, M12, M22, O7(3), O8+(2).2, O8+(2).3.2, S3 × 7:6, S3 × U4(3), S3 × U4(3).22, U4(3), U4(3).22, f22s2

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