Finite Group Databasebeta

C33×#10587023 #28356652

order13851
automorphism?
homologyAbelianization (H1) = C35 · Schur multiplier (H2) = C39

Aliases

direct productC33×#10587023

Splittings

FittingC33×C9×C19 ⋊ C3
SylowC19 ⋊ C33×3−1+2

Subgroups

subgroupG/H
centerC34C3×C19⋊C3
commutator, cosocleC3×C19C35
FrattiniC3C34×C19⋊C3
FittingC33×C9×C19C3
socleC34×C19C32
prime radicalC34×C19⋊C3C3
hypercenterC33×C9C19⋊C3
hypocenterC19C33×3−1+2
LCSG ▷ C3×C19 ▷ C19
UCSC1 ◁ C34 ◁ C33×C9

7208 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4617

Conjugacy classes & character table

1755 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 4016);