Finite Group Databasebeta

D13×#1773 #15860929

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productD13×#1773

Splittings

FittingC13×#1773 ⋊ C2
SylowC13 ⋊ C2×#1773

Subgroups

subgroupG/H
centerC2×C4C2×D4×D13
commutatorC4×C13C22×C42
FrattiniC22×C4C23×D13
FittingC13×#1773C2
socleC22×C13C2×C4×D4
prime radicalC23×D13#41
cosocleC22×C4×C13C24
hypercenter#1773D13
hypocenterC13C2×#1773
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1773

1062 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 167578);