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C2×C11×D261 #26039795

order11484
automorphism?
homologyAbelianization (H1) = C22×C11 · Schur multiplier (H2) = C2

Aliases

direct productC2×C11×D261
unambiguous semidirect product(C2×C9)⋊(C11×D29)
unambiguous semidirect product(C2×C29)⋊(C11×D9)

Splittings

FittingC2×C9×C11×C29 ⋊ C2
derived, HallC9×C29 ⋊ C22×C11
HallC9×C11×C29 ⋊ C22
HallC11×C29 ⋊ C2×D9
HallC9×C11 ⋊ C2×D29
SylowC29 ⋊ C2×C11×D9
SylowC9 ⋊ C2×C11×D29

Subgroups

subgroupG/H
center, hypercenterC2×C11D261
commutator, cosocle, hypocenterC9×C29C22×C11
FrattiniC3C2×C11×D87
FittingC2×C9×C11×C29C2
socleC2×C3×C11×C29D3
LCSG ▷ C9×C29
UCSC1 ◁ C2×C11

60 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2904 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11484, 24);