Finite Group Databasebeta

C4×#11719228 #16021158

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC4×#11719228

Splittings

FittingC4×C13×#117 ⋊ C2
SylowC13 ⋊ C4×#520

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutatorC2×C13C23×C42
FrattiniC23C24×D13
FittingC4×C13×#117C2
socle, cosocleC23×C13C25
prime radicalC22×#6127C22
hypercenterC4×#117D13
hypocenterC13C4×#520
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×#117

3698 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327807);