Finite Group Databasebeta

#261×#347 #16789021

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

Aliases

direct product#261×#347

Splittings

FittingC13×#347 ⋊ C4
SylowC13 ⋊ C4×#347

Subgroups

subgroupG/H
centerC4C42×#261
commutatorC4×C13C43
FrattiniC2×C8C22×#261
FittingC13×#347C4
socleC2×C13C4×#97
prime radicalC22×D13C2×M16
cosocleC2×C8×D13C23
hypercenter#347#261
hypocenterC13C4×#347
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C4 ◁ #347

418 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

154 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1095670);