Finite Group Databasebeta

C22×#14583562 #26003510

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC22×#14583562

Splittings

FittingC22×C22⋊Q8×C43 ⋊ C2
SylowC43 ⋊ C22×D4×Q8

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×C22⋊Q8×C43C2
socleC24×C43C24
prime radicalC23×C22⋊D43C22
hypercenterC22×C22⋊Q8D43
hypocenterC43C22×D4×Q8
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

11798 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076481);