Finite Group Databasebeta

Dic13×#544 #16022085

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

Aliases

direct productDic13×#544

Splittings

SylowC13 ⋊ C4×#544

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC2×C13×#544C2
socle, cosocleC23×C13C25
prime radicalC24×C13C24
hypercenterC2×#544D13
hypocenterC13C4×#544
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#544

2210 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, 328734);