Finite Group Databasebeta

C33×C9⋊C8 #14517859

order1944
isoclinismisoclinic class of D9
automorphism?
homologyAbelianization (H1) = C33×C8 · Schur multiplier (H2) = C33

Aliases

direct productC33×C9⋊C8

Splittings

derivedC9 ⋊ C33×C8
SylowC33×C9 ⋊ C8

Subgroups

subgroupG/H
center, hypercenterC33×C4D9
commutator, hypocenterC9C33×C8
FrattiniC3×C4C33×D3
FittingC33×C4×C9C2
socle, prime radicalC2×C34Dic3
cosocleC4×C9C2×C33
LCSG ▷ C9
UCSC1 ◁ C33×C4

804 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 648

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2253);