Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.A5

Name:
2.A5
Group order:
120 = 23 ⋅ 3 ⋅ 5
Number of classes:
9
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]
Duplicates:
2.A6M2
Maximal subgroups:
  Order Index Structure Name
1 24 5 2.L2(3) 2.L2(3)
2 20 6 2.D10 bd10
3 12 10 2.S3 2.S3
Stored Sylow p normalizers:
p Order Index Structure Name
2 24 5 2.L2(3) 2.L2(3)
3 12 10 2.S3 2.S3
5 20 6 2.D10 bd10
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
Atlas representations:
26 available
Group constructions in GAP:
AtlasGroup( "2.A5" ), AtlasSubgroup( "2.A5.2", 1 ), AtlasSubgroup( "2.A6", 1 ), AtlasSubgroup( "2.A6", 2 ), AtlasSubgroup( "2.J2", 9 ), AtlasSubgroup( "Isoclinic(2.A5.2)", 1 ), PerfectGroup( 120, 1 ), SmallGroup( 120, 5 ), TransitiveGroup( 24, 201 )
Stored class fusions from this table:
2.A5.2, 2.A6, 2.J2, 2.L2(11), 2.L2(19), 2.L2(29), 2.L2(31), A5, Isoclinic(2.A5.2)
Stored class fusions to this table:
2.L2(3), 2.S3, 52:2A5, P2/G1/L1/V1/ext2, P2/G1/L1/V1/ext3, P2/G2/L1/V1/ext2, P2/G2/L1/V1/ext3, P2/G2/L1/V2/ext2, 2.D10, sl25ex

File created automatically by GAP on 20-May-2025.