Finite Group Databasebeta

D13×#2258 #16021026

order3328
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productD13×#2258

Splittings

FittingC13×#2258 ⋊ C2
SylowC13 ⋊ C2×#2258

Subgroups

subgroupG/H
centerC32C22×D13
commutator, socleC2×C13C23×C16
FrattiniC16C23×D13
FittingC13×#2258C2
prime radical#41×D13C8
cosocleC13×C16C24
hypercenter#2258D13
hypocenterC13C2×#2258
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C32 ◁ #2258

470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

640 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327675);