Finite Group Databasebeta

← Prev (#23751127) Next (#23751129) →

C9×C13×D41 #23751128

order9594
isoclinismisoclinic class of D41
automorphism?
homologyAbelianization (H1) = C2×C9×C13 · Schur multiplier (H2) = C1

Aliases

direct productC9×C13×D41
unambiguous semidirect productC41⋊(C2×C9×C13)

Splittings

Fitting, HallC9×C13×C41 ⋊ C2
derived, SylowC41 ⋊ C2×C9×C13
HallC13×C41 ⋊ C2×C9
HallC9×C41 ⋊ C2×C13

Subgroups

subgroupG/H
center, hypercenterC9×C13D41
commutator, hypocenterC41C2×C9×C13
FrattiniC3C3×C13×D41
FittingC9×C13×C41C2
socleC3×C13×C41C2×C3
prime radicalC3×C13×D41C3
cosocleC3×C41C2×C3×C13
LCSG ▷ C41
UCSC1 ◁ C9×C13

24 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2574 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC9×C13×#4223, C9×#14523824, C9×D13×D41, …
maximal normal subgroup ofC9×C13×#4223, C9×#14523824, C9×D13×D41, …
maximal quotient ofC9×C13×Dic41, C2×C9×C13×D41

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9594, 3);