Finite Group Databasebeta

C22×#14582817 #25262784

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C211

Aliases

direct productC22×#14582817

Splittings

FittingC22×#95×C43 ⋊ C2
SylowC43 ⋊ C22×#394

Subgroups

subgroupG/H
centerC25C22×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC22×#95×C43C2
socleC25×C43C23
prime radicalC24×D172C2
hypercenterC22×#95D43
hypocenterC43C22×#394
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C25 ◁ C22×#95

8798 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 335755);