Finite Group Databasebeta

C13×C29×D33 #38733461

order24882
automorphism?
homologyAbelianization (H1) = C2×C13×C29 · Schur multiplier (H2) = C1

Aliases

direct productC13×C29×D33
unambiguous semidirect productC3⋊(C13×D11×C29)
unambiguous semidirect productC11⋊(D3×C13×C29)

Splittings

Fitting, socle, HallC3×C11×C13×C29 ⋊ C2
derived, HallC3×C11 ⋊ C2×C13×C29
HallC11×C13×C29 ⋊ D3
HallC3×C13×C29 ⋊ D11
HallC3×C11×C29 ⋊ C2×C13
HallC3×C11×C13 ⋊ C2×C29
HallC11×C29 ⋊ D3×C13
HallC11×C13 ⋊ D3×C29
HallC3×C29 ⋊ C13×D11
HallC3×C13 ⋊ D11×C29
SylowC11 ⋊ D3×C13×C29
SylowC3 ⋊ C13×D11×C29

Subgroups

subgroupG/H
center, hypercenterC13×C29D33
commutator, cosocle, hypocenterC3×C11C2×C13×C29
FrattiniC1G
Fitting, socleC3×C11×C13×C29C2
LCSG ▷ C3×C11
UCSC1 ◁ C13×C29

32 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12441

Conjugacy classes & character table

6786 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24882, 14);