Finite Group Databasebeta

D13×#2901 #16726514

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

Aliases

direct productD13×#2901

Splittings

FittingC13×#2901 ⋊ C2
SylowC13 ⋊ C2×#2901

Subgroups

subgroupG/H
centerC4C22×D4×D13
commutatorC4×C13C24×C4
FrattiniC2×C4C24×D13
FittingC13×#2901C2
socleC2×C13C23×C22⋊C4
prime radicalD13×#585C2
cosocleC2×C4×C13C25
hypercenter#2901D13
hypocenterC13C2×#2901
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C2×#41 ◁ #2901

4946 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

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, 1033163);