Finite Group Databasebeta

D13×#3025 #16729638

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productD13×#3025

Splittings

FittingC13×#3025 ⋊ C2
SylowC13 ⋊ C2×#3025

Subgroups

subgroupG/H
centerC4D13×#120
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#3025C2
socleC2×C13C22×#120
hypercenter#3025D13
hypocenterC13C2×#3025
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C22×C4 ◁ #3025

5086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1036287);