Finite Group Databasebeta

C33×#66848 #23748608

order9477
isoclinismisoclinic class of #66848
automorphism?
homologyAbelianization (H1) = C35 · Schur multiplier (H2) = C39

Aliases

direct productC33×#66848

Splittings

FittingC33×C9×C13 ⋊ C3
SylowC13 ⋊ C33×3−1+2

Subgroups

subgroupG/H
centerC34C3×C13⋊C3
commutator, cosocleC3×C13C35
FrattiniC3C34×C13⋊C3
FittingC33×C9×C13C3
socleC34×C13C32
prime radicalC34×C13⋊C3C3
hypercenterC33×C9C13⋊C3
hypocenterC13C33×3−1+2
LCSG ▷ C3×C13 ▷ C13
UCSC1 ◁ C34 ◁ C33×C9

7208 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1269 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 4017);