Finite Group Databasebeta

D13×#2333 #16021779

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD13×#2333

Splittings

FittingC13×#2333 ⋊ C2
SylowC13 ⋊ C2×#2333

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2333C2
socle, cosocleC23×C13C25
prime radicalC2×D13×#121C2
hypercenter#2333D13
hypocenterC13C2×#2333
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2333

3414 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 328428);