Finite Group Databasebeta

C22×#14583697 #26010401

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

Aliases

direct productC22×#14583697

Splittings

FittingC23×#41×C43 ⋊ C2
SylowC43 ⋊ C22×#575

Subgroups

subgroupG/H
centerC22×C4C2×C22⋊D43
commutator, cosocleC4×C43C26
FrattiniC4C25×D43
FittingC23×#41×C43C2
socleC23×C43C22×D4
hypercenterC23×#41D43
hypocenterC43C22×#575
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C24×C4 ◁ C23×#41

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, 1083372);