Finite Group Databasebeta

D59×#2050 #28616540

order15104
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD59×#2050

Splittings

FittingC59×#2050 ⋊ C2
SylowC59 ⋊ C2×#2050

Subgroups

subgroupG/H
centerC4#124×D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2050C2
socleC2×C59C2×#394
prime radical#575×D59C2
hypercenter#2050D59
hypocenterC59C2×#2050
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2050

1382 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 944

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 197419);