Finite Group Databasebeta

C22×#14583427 #26003272

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

Aliases

direct productC22×#14583427

Splittings

FittingC22×#117×C43 ⋊ C2
SylowC43 ⋊ C22×#529

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×#117×C43C2
socleC24×C43C24
prime radicalC22×#13063298C2
hypercenterC22×#117D43
hypocenterC43C22×#529
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C22×#117

8670 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076243);