Finite Group Databasebeta

D59×#2873 #29452084

order15104
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD59×#2873

Splittings

FittingC59×#2873 ⋊ C2
SylowC59 ⋊ C2×#2873

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D59
commutatorC2×C59C23×C42
FittingC59×#2873C2
socleC22×C59C24×C4
prime radicalC24×D59C2×C4
cosocleC2×C4×C59C25
hypercenter#2873D59
hypocenterC59C2×#2873
LCSG ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #2873

3342 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

2108 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 1032963);