Finite Group Databasebeta

D13×#2296 #16021296

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

Aliases

direct productD13×#2296

Splittings

FittingC13×#2296 ⋊ C2
SylowC13 ⋊ C2×#2296

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC13×#2296C2
socle, cosocleC23×C13C25
prime radicalC24×D13C23
hypercenter#2296D13
hypocenterC13C2×#2296
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2296

3854 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327945);