Finite Group Databasebeta

← Prev (#38733461) Next (#38733463) →

C13×D957 #38733462

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

Aliases

direct productC13×D957
unambiguous semidirect productC3⋊(C13×D319)
unambiguous semidirect productC11⋊(C13×D87)
unambiguous semidirect productC29⋊(C13×D33)

Splittings

Fitting, socle, HallC3×C11×C13×C29 ⋊ C2
derived, HallC3×C11×C29 ⋊ C2×C13
HallC11×C13×C29 ⋊ D3
HallC3×C13×C29 ⋊ D11
HallC3×C11×C13 ⋊ D29
HallC13×C29 ⋊ D33
HallC11×C29 ⋊ D3×C13
HallC11×C13 ⋊ D87
HallC3×C29 ⋊ C13×D11
HallC3×C13 ⋊ D319
HallC3×C11 ⋊ C13×D29
SylowC29 ⋊ C13×D33
SylowC11 ⋊ C13×D87
SylowC3 ⋊ C13×D319

Subgroups

subgroupG/H
center, hypercenterC13D957
commutator, cosocle, hypocenterC3×C11×C29C2×C13
FrattiniC1G
Fitting, socleC3×C11×C13×C29C2
LCSG ▷ C3×C11×C29
UCSC1 ◁ C13

32 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12441

Conjugacy classes & character table

6240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24882, 15);