Finite Group Databasebeta

C4×#11719231 #16021966

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC4×#11719231

Splittings

FittingC4×C13×#117 ⋊ C2
SylowC13 ⋊ C4×#536

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC4×C13×#117C2
socle, cosocleC23×C13C25
prime radicalC22×#6127C22
hypercenterC4×#117D13
hypocenterC13C4×#536
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×#117

2962 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 328615);