Finite Group Databasebeta

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C3×#15691670 #23748531

order9477
automorphism?
homologyAbelianization (H1) = C34 · Schur multiplier (H2) = C36

Aliases

direct productC3×#15691670

Splittings

SylowC13 ⋊ C3×#6912

Subgroups

subgroupG/H
centerC32C3×C32⋊(C13⋊C3)
commutator, cosocleC32×C13C34
FrattiniC32C33×C13⋊C3
FittingC32×C13×3−1+2C3
socleC32×C13C3×H(3,𝔽3)
prime radicalC34×C13C32
hypercenterC32×3−1+2C13⋊C3
hypocenterC13C3×#6912
LCSG ▷ C32×C13 ▷ C3×C13 ▷ C13
UCSC1 ◁ C32 ◁ C34 ◁ C32×3−1+2

980 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

501 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 3940);