Finite Group Databasebeta

C2×#13118393 #16030648

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#13118393

Splittings

SylowC13 ⋊ C2×#2425

Subgroups

subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
Fitting, prime radicalC22×C13×#121C2
socleC24×C13C24
hypercenterC22×#121D13
hypocenterC13C2×#2425
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22×#121

3938 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 337297);