Finite Group Databasebeta

D11×#2308 #14912318

order2816
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C211

Aliases

direct productD11×#2308

Splittings

FittingC11×#2308 ⋊ C2
SylowC11 ⋊ C2×#2308

Subgroups

subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2308C2
socle, cosocleC23×C11C25
prime radicalC23×D4×D11C2
hypercenter#2308D11
hypocenterC11C2×#2308
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2308

8142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 352

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 328113);