Finite Group Databasebeta

C22×#11719076 #16808255

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC22×#11719076

Splittings

SylowC13 ⋊ C22×#436

Subgroups

subgroupG/H
centerC24C22×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC22×C13×C4⋊C4C4
socleC24×C13C22×C4
prime radicalC23×D52C4
cosocleC2×Dic13C25
hypercenterC22×C4⋊C4#261
hypocenterC13C22×#436
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22×C4⋊C4

3262 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114904);