Finite Group Databasebeta

C11×#15692423 #49088306

order35739
automorphism?
homologyAbelianization (H1) = C9×C11 · Schur multiplier (H2) = C1

Aliases

direct productC11×#15692423

Splittings

derived, SylowC361 ⋊ C9×C11
HallC11×C361 ⋊ C9

Subgroups

subgroupG/H
center, hypercenterC3×C11C361⋊C3
commutator, hypocenterC361C9×C11
FrattiniC3×C19C11×C19⋊C3
FittingC3×C11×C361C3
socle, prime radicalC3×C11×C19C19⋊C3
cosocleC3×C361C3×C11
LCSG ▷ C361
UCSC1 ◁ C3×C11

18 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 35739

Conjugacy classes & character table

4059 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35739, 2);