Finite Group Databasebeta

Dic11×#399 #14675604

order2816
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productDic11×#399

Splittings

SylowC11 ⋊ C4×#399

Subgroups

subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#399C2
socle, cosocleC24×C11C24
prime radicalC25×C11C23
hypercenterC2×#399D11
hypocenterC11C4×#399
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#399

1966 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1408

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, 91399);