Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁴:D₈

Name:

2^4:D8

Group order:

128 = 2⁷

Number of classes:

17

InfoText value:

origin: Ostermann, tests: 1.o.r., pow[2], 2nd power map determined only up to matrix automorphisms, Sylow 2 normalizer in sporadic Mathieu group M22 Sylow 2 normalizer in sporadic Mathieu group M23

Duplicates:

M^cLN2

Group constructions in GAP:

SmallGroup( 128, 931 ), TransitiveGroup( 16, 342 ), TransitiveGroup( 16, 365 ), TransitiveGroup( 16, 381 ), TransitiveGroup( 16, 386 ), TransitiveGroup( 16, 394 )

Stored class fusions from this table:

2.A₈, LyN2, M₂₂, M₂₃, U₄(3), s₆₁p

Stored class fusions to this table:

2.M₂₂N2, 3 × 2.M₂₂N2, 3 × 4.M₂₂N2, 3 × M^cLN2, 4.M₂₂N2

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