Finite Group Databasebeta

#261×#585 #16809637

order3328
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct product#261×#585

Splittings

FittingC13×#585 ⋊ C4
SylowC13 ⋊ C4×#585

Subgroups

subgroupG/H
centerC4C24×#261
commutator, socleC2×C13C25×C4
FrattiniC2C25×#261
FittingC13×#585C4
prime radicalD13×#585C2
cosocleC2×D13C26
hypercenter#585#261
hypocenterC13C4×#585
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ #585

11346 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

238 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1116286);