Finite Group Databasebeta

D13×#1833 #15863088

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4

Aliases

direct productD13×#1833

Splittings

FittingC13×#1833 ⋊ C2
SylowC13 ⋊ C2×#1833

Subgroups

subgroupG/H
centerC4D13×#117
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#1833C2
socleC2×C13C2×#382
prime radicalC23×D13#41
cosocleC22×C4×C13C24
hypercenter#1833D13
hypocenterC13C2×#1833
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ #117 ◁ #1833

786 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 169737);