Finite Group Databasebeta

C22×#14583511 #26003415

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

Aliases

direct productC22×#14583511

Splittings

SylowC43 ⋊ C22×#541

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×#117×C43C2
socleC24×C43C24
prime radicalC25×C43C23
hypercenterC22×#117D43
hypocenterC43C22×#541
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#117

7110 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, 1076386);