Finite Group Databasebeta

Dic11×#376 #14674844

order2816
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C44

Aliases

direct productDic11×#376

Splittings

SylowC11 ⋊ C4×#376

Subgroups

subgroupG/H
centerC23×C4C22×D11
commutatorC2×C11C2×C43
FrattiniC24C23×D11
FittingC2×C11×#376C2
socle, prime radical, cosocleC24×C11C24
hypercenterC2×#376D11
hypocenterC11C4×#376
LCSG ▷ C2×C11 ▷ C11
UCSC1 ◁ C23×C4 ◁ C2×#376

2302 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2816

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 90639);