Finite Group Databasebeta

D13×#2358 #16022404

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD13×#2358

Splittings

FittingC13×#2358 ⋊ C2
SylowC13 ⋊ C2×#2358

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2358C2
socle, cosocleC23×C13C25
prime radicalC2×D13×#120C2
hypercenter#2358D13
hypocenterC13C2×#2358
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2358

5942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 329053);