Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A9

Name:
A9
Group order:
181440 = 26 ⋅ 34 ⋅ 5 ⋅ 7
Number of classes:
18
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Duplicates:
A9, A9
Maximal subgroups:
  Order Index Structure Name
1 20160 9 A8 A8
2 5040 36 S7 A7.2
3 2160 84 (3 × A6).21 (3xA6).2_1
4 1512 120 L2(8).3 L2(8).3
5 1512 120 L2(8).3 A9M5
6 1440 126 (A4 × A5):2 (A4xA5):2
7 648 280 33.S4 3^3.S4
8 216 840 32:2A4 3^2:2A4
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
68 available
Group constructions in GAP:
AlternatingGroup( 9 ), AtlasGroup( "A9" ), AtlasStabilizer( "A10", "A10G1-p10B0" ), PerfectGroup( 181440, 1 ), PrimitiveGroup( 9, 10 ), PrimitiveGroup( 36, 11 ), PrimitiveGroup( 84, 1 ), PrimitiveGroup( 120, 2 ), PrimitiveGroup( 126, 12 ), PrimitiveGroup( 280, 1 ), PrimitiveGroup( 840, 1 ), TransitiveGroup( 9, 33 )
Stored class fusions from this table:
28.A9, S9, A10, O8+(2)
Stored class fusions to this table:
2.A9, 21+8.2.A9, 21+8+.A9, 28.A9, 2 × 2.A9, 32:2A4, 33.S4, (3 × A6).21, (A4 × A5):2, S7, A8, L2(8).3, L2(8).3

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