Finite Group Databasebeta

C22×C43⋊#564 #26003493

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC22×C43⋊#564

Splittings

SylowC43 ⋊ C22×#564

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×#125×C43C2
socle, prime radicalC24×C43C24
hypercenterC22×#125D43
hypocenterC43C22×#564
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#125

6374 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1252 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076464);