Finite Group Databasebeta

D11×#2398 #14920040

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

Aliases

direct productD11×#2398

Splittings

FittingC11×#2398 ⋊ C2
SylowC11 ⋊ C2×#2398

Subgroups

subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2398C2
prime radicalC22×D4×D11C22
hypercenter#2398D11
hypocenterC11C2×#2398
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2398

3246 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 704

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, 335835);