Finite Group Databasebeta

C3×#10619584 #14517270

order1944
automorphism?
homologyAbelianization (H1) = C32×C9 · Schur multiplier (H2) = C34

Aliases

direct productC3×#10619584

Splittings

SylowQ8 ⋊ C3×C32⋊C9

Subgroups

subgroupG/H
center, socleC2×C33C3×A4
commutatorC3×Q8C32×C9
FrattiniC2×C32C32×A4
FittingC34×Q8C3
prime radical, hypercenterC2×C34A4
cosocleC32×Q8C33
hypocenterQ8C3×C32⋊C9
LCSG ▷ C3×Q8 ▷ Q8
UCSC1 ◁ C2×C33 ◁ C2×C34

644 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 648

Conjugacy classes & character table

279 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1664);