Finite Group Databasebeta

← Prev (#49146306) Next (#49146308) →

C11×C43×D39 #49146307

order36894
automorphism?
homologyAbelianization (H1) = C2×C11×C43 · Schur multiplier (H2) = C1

Aliases

direct productC11×C43×D39
unambiguous semidirect productC3⋊(C11×D13×C43)
unambiguous semidirect productC13⋊(D3×C11×C43)

Splittings

Fitting, socle, HallC3×C11×C13×C43 ⋊ C2
derived, HallC3×C13 ⋊ C2×C11×C43
HallC11×C13×C43 ⋊ D3
HallC3×C13×C43 ⋊ C2×C11
HallC3×C11×C43 ⋊ D13
HallC13×C43 ⋊ D3×C11
HallC3×C11×C13 ⋊ C2×C43
HallC11×C13 ⋊ D3×C43
HallC3×C43 ⋊ C11×D13
HallC3×C11 ⋊ D13×C43
SylowC13 ⋊ D3×C11×C43
SylowC3 ⋊ C11×D13×C43

Subgroups

subgroupG/H
center, hypercenterC11×C43D39
commutator, cosocle, hypocenterC3×C13C2×C11×C43
FrattiniC1G
Fitting, socleC3×C11×C13×C43C2
LCSG ▷ C3×C13
UCSC1 ◁ C11×C43

32 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 18447

Conjugacy classes & character table

9933 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36894, 15);