Finite Group Databasebeta

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C32×#11760452 #23748611

order9477
automorphism?
homologyAbelianization (H1) = C35 · Schur multiplier (H2) = C39

Aliases

direct productC32×#11760452

Splittings

SylowC13 ⋊ C32×#737

Subgroups

subgroupG/H
centerC33C32×C13⋊C3
commutator, cosocleC3×C13C35
FrattiniC3C34×C13⋊C3
Fitting, prime radicalC32×C13×H(3,𝔽3)C3
socleC33×C13C33
hypercenterC32×H(3,𝔽3)C13⋊C3
hypocenterC13C32×#737
LCSG ▷ C3×C13 ▷ C13
UCSC1 ◁ C33 ◁ C32×H(3,𝔽3)

5804 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

693 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 4020);