Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for P12/G1/L2/V1/ext2

Name:

P12/G1/L2/V1/ext2

Group order:

86016 = 2¹² ⋅ 3 ⋅ 7

Number of classes:

88

InfoText value:

origin: Hanrath library, structure is 2^8.2.L3(2), characters sorted with permutation (59,60). The table on the microfiche is incorrect: A comparison with the table computed from the group showed that in the 12 irreducible characters 72,73,75,76,78,79,81,82,84,85,87,88 (of degree 56), the values on the classes 51..64 had to be replaced by their complex conjugates; the structure constant for 12, 25, 51 was not integral.

Group constructions in GAP:

CTblLib.FactorGroupOfPerfectSpaceGroup( "P12/G1/L2/V1/ext2" ), PerfectGroup( 86016, 44 )

Stored class fusions from this table:

2.L₃(2), L₃(2)

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