Finite Group Databasebeta

C22×#14583426 #26003271

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

Aliases

direct productC22×#14583426

Splittings

FittingC22×#123×C43 ⋊ C2
SylowC43 ⋊ C22×#529

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×#123×C43C2
socleC24×C43C24
prime radicalC22×#13063297C2
hypercenterC22×#123D43
hypocenterC43C22×#529
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#123

8670 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076242);