Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁶:U₄(2).2

Name:

2^6:U4(2).2

Group order:

3317760 = 2¹³ ⋅ 3⁴ ⋅ 5

Number of classes:

65

InfoText value:

origin: computed in 1997 by E. Mpono using Clifford theory, maximal subgroup of 2^6:S6(2), differs from table of nonsplit extension (HN.2M8) only by 2nd power map and representative orders, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "O8-(2).2", "O8m2d2G1-p119B0" ), PrimitiveGroup( 64, 56 )

Stored class fusions from this table:

2⁶:S₆(2), O₈⁻(2).2, U₄(2).2

Stored class fusions to this table:

U₄(2).2

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