Finite Group Databasebeta

C22×#11719169 #16808033

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC22×#11719169

Splittings

SylowC13 ⋊ C22×#407

Subgroups

subgroupG/H
centerC24C22×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
Fitting, prime radicalC26×C13C4
socleC24×C13C22×C4
cosocleC2×Dic13C25
hypercenterC26#261
hypocenterC13C22×#407
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C26

7214 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114682);