Finite Group Databasebeta

C2×C59⋊#2104 #28619677

order15104
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productC2×C59⋊#2104
unambiguous semidirect product(C2×C59)⋊#2104

Splittings

SylowC59 ⋊ C2×#2104

Subgroups

subgroupG/H
centerC22C59⋊#401
commutator, cosocleC24×C59C24
FrattiniC24C23×D59
FittingC2×C59×#342C2
socleC22×C59#401
prime radicalC25×C59C23
hypercenterC2×#342D59
hypocenterC59C2×#2104
LCSG ▷ C24×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C25 ◁ C2×#342

822 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

1322 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 200556);