Finite Group Databasebeta

D11×#3293 #15630000

order2816
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD11×#3293

Splittings

FittingC11×#3293 ⋊ C2
SylowC11 ⋊ C2×#3293

Subgroups

subgroupG/H
centerC2D42×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3293C2
socleC2×C11C2×D42
hypercenter#3293D11
hypocenterC11C2×#3293
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2 ◁ C2×C4 ◁ #3293

2598 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 352

Conjugacy classes & character table

203 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 1045795);