Finite Group Databasebeta

D13×#1887 #15864473

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

Aliases

direct productD13×#1887

Splittings

FittingC13×#1887 ⋊ C2
SylowC13 ⋊ C2×#1887

Subgroups

subgroupG/H
centerC22D13×#120
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#1887C2
socleC22×C13C2×#120
prime radicalC2×D13×#127C2
cosocleC22×C4×C13C24
hypercenter#1887D13
hypocenterC13C2×#1887
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1887

2526 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, 171122);