Finite Group Databasebeta

C22×#11718319 #16029155

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC22×#11718319

Splittings

SylowC13 ⋊ C22×#400

Subgroups

subgroupG/H
centerC25C22×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC22×C13×#95C2
socle, prime radicalC25×C13C23
hypercenterC22×#95D13
hypocenterC13C22×#400
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C25 ◁ C22×#95

3550 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 335804);