Finite Group Databasebeta

D13×#2873 #16726314

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD13×#2873

Splittings

FittingC13×#2873 ⋊ C2
SylowC13 ⋊ C2×#2873

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D13
commutatorC2×C13C23×C42
FittingC13×#2873C2
socleC22×C13C24×C4
prime radicalC24×D13C2×C4
cosocleC2×C4×C13C25
hypercenter#2873D13
hypocenterC13C2×#2873
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #2873

3342 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1032963);