Finite Group Databasebeta

C22×#14583699 #26010403

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

Aliases

direct productC22×#14583699

Splittings

FittingC23×M16×C43 ⋊ C2
SylowC43 ⋊ C22×#575

Subgroups

subgroupG/H
centerC22×C4C2×D172
commutator, cosocleC4×C43C26
FrattiniC4C25×D43
FittingC23×M16×C43C2
socleC23×C43C22×D4
hypercenterC23×M16D43
hypocenterC43C22×#575
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C24×C4 ◁ C23×M16

11294 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, 1083374);