Finite Group Databasebeta

C4×#11718104 #15777746

order3328
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C42

Aliases

direct productC4×#11718104

Splittings

SylowC13 ⋊ C4×#347

Subgroups

subgroupG/H
centerC42C4×Dic13
commutatorC4×C13C43
FrattiniC22×C8C22×D13
FittingC4×C13×M32C2
socleC22×C13C2×#97
prime radicalC23×C13C2×M16
cosocleC22×C8×C13C23
hypercenterC4×M32D13
hypocenterC13C4×#347
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C42 ◁ C4×M32

418 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 84395);