Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U4(3).23

Name:
U4(3).2_3
Group order:
6531840 = 28 ⋅ 36 ⋅ 5 ⋅ 7
Number of classes:
25
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Duplicates:
U4(3).23'
Maximal subgroups:
  Order Index Structure Name
1 3265920 2 U4(3) U4(3)
2 58320 112 34:M10 3^4:m10
3 40320 162 L3(4).23 L3(4).2_3
4 40320 162 L3(4).21 L3(4).2_1
5 23328 280 31+4:4S4 3^(1+4):4S4
6 12096 540 U3(3).2 U3(3).2
7 2304 2835 2(A4 × A4).4.2 2(A4xA4).4.2
8 1440 4536 M10 × 2 M10x2
9 1440 4536 A6.22 A6.2^2
10 1440 4536 A6.22 U4(3).2_3M10
11 768 8505 (42 × 2)S4 (4^2x2)S4
Stored Sylow p normalizers:
p Order Index Structure Name
5 40 163296 2 × 5:4 2x5:4
7 42 155520 7:6 7:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Group constructions in GAP:
AtlasStabilizer( "McL.2", "McLd2G1-p275B0" ), AtlasSubgroup( "McL.2", 2 ), PrimitiveGroup( 112, 4 ), PrimitiveGroup( 162, 2 ), PrimitiveGroup( 162, 3 ), PrimitiveGroup( 280, 16 ), PrimitiveGroup( 540, 2 ), PrimitiveGroup( 2835, 2 )
Stored class fusions from this table:
McL.2, U4(3).(22)133, U4(3).D8
Stored class fusions to this table:
2(A4 × A4).4.2, 2.U4(3).23, 2 × 5:4, 34:M10, 31+4:4S4, 32.U4(3).23, 4.U4(3).23, 62.U4(3).23, 7:6, 122.U4(3).23, (42 × 2)S4, A6.22, L3(4).21, L3(4).23, M10 × 2, U3(3).2, U4(3), A6.22

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