Finite Group Databasebeta

D13×#1434 #15784010

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4

Aliases

direct productD13×#1434

Splittings

FittingC13×#1434 ⋊ C2
SylowC13 ⋊ C2×#1434

Subgroups

subgroupG/H
center, FrattiniC24C23×D13
commutatorC22×C13C22×C42
FittingC13×#1434C2
socle, cosocleC24×C13C24
prime radicalC24×D13C23
hypercenter#1434D13
hypocenterC13C2×#1434
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ #1434

3246 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 90659);