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C11×C9⋊#1181 #26039784

order11484
automorphism?
homologyAbelianization (H1) = C4×C11 · Schur multiplier (H2) = C1

Aliases

direct productC11×C9⋊#1181
unambiguous semidirect productC9⋊(C11×#1181)

Splittings

Fitting, HallC9×C11×C29 ⋊ C4
derived, HallC9×C29 ⋊ C4×C11
HallC11×C29 ⋊ Dic9
HallC9×C11 ⋊ #1181
SylowC29 ⋊ C11×Dic9
SylowC9 ⋊ C11×#1181

Subgroups

subgroupG/H
center, hypercenterC11C9⋊#1181
commutator, hypocenterC9×C29C4×C11
FrattiniC3C11×C3⋊#1181
FittingC9×C11×C29C4
socleC3×C11×C29Dic3
prime radicalC3×C11×D29D3
cosocleC9×D29C2×C11
LCSG ▷ C9×C29
UCSC1 ◁ C11

36 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

825 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11484, 13);