Finite Group Databasebeta

D59×#2401 #28754984

order15104
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27

Aliases

direct productD59×#2401

Splittings

FittingC59×#2401 ⋊ C2
SylowC59 ⋊ C2×#2401

Subgroups

subgroupG/H
centerC22×C4C23×D59
commutator, socle, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC59×#2401C2
prime radicalC24×D59C23
hypercenter#2401D59
hypocenterC59C2×#2401
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ #2401

2294 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3776

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 335863);