Finite Group Databasebeta

C9×C31×D43 #37561998

order23994
automorphism?
homologyAbelianization (H1) = C2×C9×C31 · Schur multiplier (H2) = C1

Aliases

direct productC9×C31×D43

Splittings

Fitting, HallC9×C31×C43 ⋊ C2
derived, SylowC43 ⋊ C2×C9×C31
HallC31×C43 ⋊ C2×C9
HallC9×C43 ⋊ C2×C31

Subgroups

subgroupG/H
center, hypercenterC9×C31D43
commutator, hypocenterC43C2×C9×C31
FrattiniC3C3×C31×D43
FittingC9×C31×C43C2
socleC3×C31×C43C2×C3
prime radicalC3×C31×D43C3
cosocleC3×C43C2×C3×C31
LCSG ▷ C43
UCSC1 ◁ C9×C31

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11997

Conjugacy classes & character table

6417 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23994, 6);