Finite Group Databasebeta

C22×#14582665 #25094024

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct productC22×#14582665

Splittings

SylowC43 ⋊ C22×#342

Subgroups

subgroupG/H
centerC24(C2×D43)⋊C4
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC23×C22⋊C4×C43C2
socleC24×C43C22⋊C4
prime radicalC26×C43C22
cosocleC24×C43C24
hypercenterC23×C22⋊C4D43
hypocenterC43C22×#342
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C26 ◁ C23×C22⋊C4

4334 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, 166995);