Finite Group Databasebeta

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C3×C43⋊#6862 #44532456

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

Aliases

direct productC3×C43⋊#6862
unambiguous semidirect product(C3×C43)⋊#6862

Splittings

SylowC43 ⋊ C3×#6862

Subgroups

subgroupG/H
centerC33C32⋊(C43⋊C3)
commutator, cosocleC33×C43C33
FrattiniC33C32×C43⋊C3
FittingC3×C43×C32⋊C9C3
socleC33×C43H(3,𝔽3)
prime radicalC34×C43C32
hypercenterC3×C32⋊C9C43⋊C3
hypocenterC43C3×#6862
LCSG ▷ C33×C43 ▷ C32×C43 ▷ C43
UCSC1 ◁ C33 ◁ C34 ◁ C3×C32⋊C9

284 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10449

Conjugacy classes & character table

1491 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 1079);