Finite Group Databasebeta

C22×#11719621 #16809649

order3328
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC22×#11719621

Splittings

SylowC13 ⋊ C22×#568

Subgroups

subgroupG/H
centerC23C23×#261
commutatorC2×C13C25×C4
FrattiniC2C25×#261
FittingC23×D4×C13C4
socleC23×C13C23×C4
prime radicalC23×#6129C2
cosocleDic13C26
hypercenterC23×D4#261
hypocenterC13C22×#568
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×D4

11118 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1116298);