Finite Group Databasebeta

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3−1+2×C33⋊C13 #23748630

order9477
automorphism?
homologyAbelianization (H1) = C32×C13 · Schur multiplier (H2) = C1

Aliases

direct product3−1+2×C33⋊C13
unambiguous semidirect productC9⋊(C3×C33⋊C13)
unambiguous semidirect product(C33×3−1+2)⋊C13

Splittings

Fitting, SylowC33×3−1+2 ⋊ C13

Subgroups

subgroupG/H
center, FrattiniC3C32×C33⋊C13
commutator, socle, cosocleC34C32×C13
FittingC33×3−1+2C13
prime radicalC32×C33⋊C13C3
hypercenter3−1+2C33⋊C13
hypocenterC33C13×3−1+2
LCSG ▷ C34 ▷ C33
UCSC1 ◁ C3 ◁ 3−1+2

308 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

165 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 4039);