Finite Group Databasebeta

D13×#2955 #16727218

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

Aliases

direct productD13×#2955

Splittings

FittingC13×#2955 ⋊ C2
SylowC13 ⋊ C2×#2955

Subgroups

subgroupG/H
centerC8C2×D4×D13
commutatorC4×C13C24×C4
FrattiniC2×C4C24×D13
FittingC13×#2955C2
socleC2×C13C22×C4×D4
prime radicalD13×#575C2
cosocleC2×C4×C13C25
hypercenter#2955D13
hypocenterC13C2×#2955
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C8 ◁ C22×C8 ◁ #2955

2666 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, 1033867);