Finite Group Databasebeta

D13×#2345 #16022158

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD13×#2345

Splittings

FittingC13×#2345 ⋊ C2
SylowC13 ⋊ C2×#2345

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2345C2
socle, cosocleC23×C13C25
prime radicalC24×D13C23
hypercenter#2345D13
hypocenterC13C2×#2345
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2345

3094 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 328807);