Finite Group Databasebeta

D13×#2989 #16727967

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD13×#2989

Splittings

FittingC13×#2989 ⋊ C2
SylowC13 ⋊ C2×#2989

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D13
commutator, socleC22×C13C24×C4
FittingC13×#2989C2
prime radicalC2×#41×D13C4
cosocleC2×C4×C13C25
hypercenter#2989D13
hypocenterC13C2×#2989
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #2989

2154 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1034616);