Finite Group Databasebeta

#347×#595 #17960426

order4352
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C42

Aliases

direct product#347×#595

Splittings

FittingC17×#347 ⋊ C4
SylowC17 ⋊ C4×#347

Subgroups

subgroupG/H
centerC4C42×#595
commutatorC4×C17C43
FrattiniC2×C8C22×#595
FittingC17×#347C4
socleC2×C17C4×#97
prime radicalC22×D17C2×M16
cosocleC2×C8×D17C23
hypercenter#347#595
hypocenterC17C4×#347
LCSG ▷ C4×C17 ▷ C17
UCSC1 ◁ C4 ◁ #347

418 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 272

Conjugacy classes & character table

176 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1095670);