Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 24:A7

Name:
2^4:a7
Group order:
40320 = 27 ⋅ 32 ⋅ 5 ⋅ 7
Number of classes:
15
InfoText value:
origin: CAS library, maximal subgroup of M23, maximal subgroup of McL, test: 1.OR, JAMES, JAMES,n=3, and restricted characters decompose properly tests: 1.o.r., pow[2,3,5,7]
Duplicates:
24:A7
Group constructions in GAP:
AtlasStabilizer( "M23", "M23G1-p253bB0" ), AtlasStabilizer( "McL", "McLG1-p22275cB0" ), AtlasStabilizer( "McL", "McLG1-p22275dB0" ), AtlasSubgroup( "M23", 3 ), AtlasSubgroup( "McL", 9 ), AtlasSubgroup( "McL", 10 ), PerfectGroup( 40320, 2 ), PrimitiveGroup( 16, 20 ), TransitiveGroup( 16, 1840 ), TransitiveGroup( 30, 1152 )
Stored class fusions from this table:
24:A8, A7, M23, McL
Stored class fusions to this table:
24:A6, 21+3:L3(2), 22+4:(3 × 3):2, 3.24:A7, A7

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