Finite Group Databasebeta

Dic13×#539 #16022012

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productDic13×#539

Splittings

SylowC13 ⋊ C4×#539

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC2×C13×#539C2
socle, cosocleC23×C13C25
prime radicalC2×C13×#121C22
hypercenterC2×#539D13
hypocenterC13C4×#539
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

2330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 328661);