Finite Group Databasebeta

D59×#3288 #29464864

order15104
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD59×#3288

Splittings

FittingC59×#3288 ⋊ C2
SylowC59 ⋊ C2×#3288

Subgroups

subgroupG/H
centerC2D42×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3288C2
socleC2×C59C2×D42
hypercenter#3288D59
hypocenterC59C2×#3288
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2 ◁ C2×C4 ◁ #3288

2704 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, 1045743);