Finite Group Databasebeta

D13×#2883 #16726385

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD13×#2883

Splittings

FittingC13×#2883 ⋊ C2
SylowC13 ⋊ C2×#2883

Subgroups

subgroupG/H
centerC2C22×C22⋊C4×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC13×#2883C2
socleC2×C13C23×C22⋊C4
prime radicalC2×D13×H(5,𝔽2)C2
cosocleC23×C13C25
hypercenter#2883D13
hypocenterC13C2×#2883
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C22×D4 ◁ #2883

5338 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1033034);