Finite Group Databasebeta

D13×#2982 #16727855

order3328
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productD13×#2982

Splittings

FittingC13×#2982 ⋊ C2
SylowC13 ⋊ C2×#2982

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D13
commutatorC2×C13C24×C8
FittingC13×#2982C2
socleC22×C13C24×C4
prime radicalC23×D13C22×C4
cosocleC2×C4×C13C25
hypercenter#2982D13
hypocenterC13C2×#2982
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #2982

2234 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1034504);