Finite Group Databasebeta

← Prev (#26039852) Next (#26039854) →

C2×C3×D957 #26039853

order11484
automorphism?
homologyAbelianization (H1) = C22×C3 · Schur multiplier (H2) = C2

Aliases

direct productC2×C3×D957
unambiguous semidirect product(C2×C3)⋊(C3×D319)
unambiguous semidirect product(C2×C11)⋊(C3×D87)
unambiguous semidirect product(C2×C29)⋊(C3×D33)

Splittings

Fitting, socleC2×C32×C11×C29 ⋊ C2
derivedC3×C11×C29 ⋊ C22×C3
HallC32×C11×C29 ⋊ C22
HallC11×C29 ⋊ C2×C3×D3
HallC32×C29 ⋊ C2×D11
HallC32×C11 ⋊ C2×D29
SylowC29 ⋊ C2×C3×D33
SylowC11 ⋊ C2×C3×D87
SylowC32 ⋊ C2×D319

Subgroups

subgroupG/H
center, hypercenterC2×C3D957
commutator, cosocle, hypocenterC3×C11×C29C22×C3
FrattiniC1G
Fitting, socleC2×C32×C11×C29C2
LCSG ▷ C3×C11×C29
UCSC1 ◁ C2×C3

88 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2880 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11484, 82);