Finite Group Databasebeta

C2×#13116346 #15892033

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

Aliases

direct productC2×#13116346

Splittings

SylowC13 ⋊ C2×#2090

Subgroups

subgroupG/H
centerC23#88184
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC2×C13×#424C2
socleC23×C13#121
prime radicalC24×C13#41
hypercenterC2×#424D13
hypocenterC13C2×#2090
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#424

810 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 198682);