Finite Group Databasebeta

D13×#1441 #15784588

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productD13×#1441

Splittings

FittingC13×#1441 ⋊ C2
SylowC13 ⋊ C2×#1441

Subgroups

subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC13×#1441C2
socle, cosocleC24×C13C24
prime radicalC24×D13C23
hypercenter#1441D13
hypocenterC13C2×#1441
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ #1441

3246 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, 91237);