Finite Group Databasebeta

C19⋊C3×#6894 #28355965

order13851
automorphism?
homologyAbelianization (H1) = C34 · Schur multiplier (H2) = C34

Aliases

direct productC19⋊C3×#6894

Splittings

FittingC19×#6894 ⋊ C3
SylowC19 ⋊ C3×#6894

Subgroups

subgroupG/H
center, FrattiniC32C33×C19⋊C3
commutator, socle, cosocleC32×C19C34
FittingC19×#6894C3
prime radicalC33×C19⋊C3C32
hypercenter#6894C19⋊C3
hypocenterC19C3×#6894
LCSG ▷ C32×C19 ▷ C19
UCSC1 ◁ C32 ◁ #6894

932 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1539

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 3329);