Finite Group Databasebeta

D13×#1906 #15864822

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD13×#1906

Splittings

FittingC13×#1906 ⋊ C2
SylowC13 ⋊ C2×#1906

Subgroups

subgroupG/H
centerC4D13×#121
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#1906C2
socleC2×C13C2×#386
prime radicalD13×#575C2
cosocleC22×C4×C13C24
hypercenter#1906D13
hypocenterC13C2×#1906
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1906

1798 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, 171471);