Finite Group Databasebeta

#737×C43⋊C9 #44534661

order31347
automorphism?
homologyAbelianization (H1) = C33×C9 · Schur multiplier (H2) = C35

Aliases

direct product#737×C43⋊C9

Splittings

SylowC43 ⋊ C9×#737

Subgroups

subgroupG/H
centerC3×C9C32×C43⋊C3
commutatorC3×C43C33×C9
FrattiniC32C33×C43⋊C3
FittingC3×C43×#737C3
socle, cosocleC32×C43C34
prime radicalC3×H(3,𝔽3)×C43C32
hypercenterC3×#737C43⋊C3
hypocenterC43C9×#737
LCSG ▷ C3×C43 ▷ C43
UCSC1 ◁ C3×C9 ◁ C3×#737

986 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10449

Conjugacy classes & character table

1683 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 3284);