Finite Group Databasebeta

D13×#2238 #16017800

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

Aliases

direct productD13×#2238

Splittings

FittingC13×#2238 ⋊ C2
SylowC13 ⋊ C2×#2238

Subgroups

subgroupG/H
centerC2D13×#481
commutator, cosocleC2×C8×C13C24
FrattiniC2×C8C23×D13
FittingC13×#2238C2
socleC2×C13C2×#481
prime radicalD13×#469C2
hypercenter#2238D13
hypocenterC13C2×#2238
LCSG ▷ C2×C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×M16 ◁ #2238

604 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

160 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 324449);