Finite Group Databasebeta

D11×#3028 #15620509

order2816
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productD11×#3028

Splittings

FittingC11×#3028 ⋊ C2
SylowC11 ⋊ C2×#3028

Subgroups

subgroupG/H
centerC2C2×D11×#120
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#3028C2
socleC2×C11C22×#120
prime radicalD11×#585C2
hypercenter#3028D11
hypocenterC11C2×#3028
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2 ◁ C22×C4 ◁ #3028

4790 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, 1036304);