Finite Group Databasebeta

D13×#1374 #15777754

order3328
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C25

Aliases

direct productD13×#1374

Splittings

FittingC13×#1374 ⋊ C2
SylowC13 ⋊ C2×#1374

Subgroups

subgroupG/H
center, FrattiniC22×C8C22×D13
commutatorC2×C13C2×C4×C16
FittingC13×#1374C2
socleC23×C13C22×C8
prime radicalC23×D13C2×C8
cosocleC22×C8×C13C23
hypercenter#1374D13
hypocenterC13C2×#1374
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ #1374

726 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 84403);