Finite Group Databasebeta

C22×#14582676 #25249250

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productC22×#14582676

Splittings

SylowC43 ⋊ C22×#347

Subgroups

subgroupG/H
centerC22×C4C4×Dic43
commutatorC4×C43C22×C42
FrattiniC2×C8C23×D43
FittingC22×M32×C43C2
socleC23×C43#97
prime radicalC24×C43M16
cosocleC2×C8×C43C24
hypercenterC22×M32D43
hypocenterC43C22×#347
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×M32

782 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, 322221);