Finite Group Databasebeta

D13×#2280 #16021184

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4

Aliases

direct productD13×#2280

Splittings

FittingC13×#2280 ⋊ C2
SylowC13 ⋊ C2×#2280

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC13×#2280C2
socle, cosocleC23×C13C25
prime radicalC25×D13C22
hypercenter#2280D13
hypocenterC13C2×#2280
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2280

7630 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 327833);