Finite Group Databasebeta

D13×#2957 #16727234

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD13×#2957

Splittings

FittingC13×#2957 ⋊ C2
SylowC13 ⋊ C2×#2957

Subgroups

subgroupG/H
centerC4C22×D4×D13
commutatorC4×C13C24×C4
FrattiniC2×C4C24×D13
FittingC13×#2957C2
socleC2×C13C22×C4×D4
prime radicalC2×D13×#135C2
cosocleC2×C4×C13C25
hypercenter#2957D13
hypocenterC13C2×#2957
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C2×M16 ◁ #2957

2642 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 1033883);