Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A14

Name:
A14
Group order:
43589145600 = 210 ⋅ 35 ⋅ 52 ⋅ 72 ⋅ 11 ⋅ 13
Number of classes:
72
InfoText value:
origin: CAS library, names:= a14 order: 2^10.3^5.5^2.7^2.11.13 = 43589145600 number of classes: 72 source: stockhofe [aachen] from table of s14 (kerber,bayreuth) comments: alternating group test: orth, min tests: 1.o.r., pow[2,3,5,7,11,13]
Some maximal subgroups:
  Order Index Structure Name
1 3113510400 14 A13 A13
2 479001600 91 S12 A12.2
6 21772800 2002 (A5 × A9):2 (A5xA9):2
8 322560 135135 26:S7 2^6:S7
9 1092 39916800 L2(13) L2(13)
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:
28 available
Group constructions in GAP:
AlternatingGroup( 14 ), AtlasGroup( "A14" ), PrimitiveGroup( 14, 3 ), PrimitiveGroup( 91, 5 ), PrimitiveGroup( 364, 6 ), PrimitiveGroup( 1001, 1 ), PrimitiveGroup( 1716, 3 ), PrimitiveGroup( 2002, 1 ), PrimitiveGroup( 3003, 1 ), TransitiveGroup( 14, 62 )
Stored class fusions from this table:
A14.2
Stored class fusions to this table:
26:S7, (A5 × A9):2, S12, A13, L2(13)

File created automatically by GAP on 6-May-2025.