Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁴:S₄

Name:

s2wrs4

Group order:

384 = 2⁷ ⋅ 3

Number of classes:

20

InfoText value:

origin: CAS library, names:=s2wrs4 order: 2^7.3 = 384 number of classes: 20 source:saenger, f. einige charakterentafeln von symmetrien symmetrischer gruppen mitt.math.sem. giessen heft 98 [1973], 21 - 38 comments:wreath-product of s2 with s4 test: orth.1, minus, sym(3) tests: 1.o.r., pow[2,3]

Group constructions in GAP:

SmallGroup( 384, 5602 ), TransitiveGroup( 8, 44 ), TransitiveGroup( 16, 736 ), TransitiveGroup( 16, 743 ), TransitiveGroup( 16, 748 ), TransitiveGroup( 16, 752 ), TransitiveGroup( 24, 708 ), TransitiveGroup( 24, 1151 )

Stored class fusions from this table:

S₈, U₄(2).2

Stored class fusions to this table:

2³.S₄v₂, 2⁴:A₄, (2⁴:A₄ × A₄).2

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