Finite Group Databasebeta

#261×#518 #16807460

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

Aliases

direct product#261×#518

Splittings

FittingC13×#518 ⋊ C4
SylowC13 ⋊ C4×#518

Subgroups

subgroupG/H
center, FrattiniC22C24×#261
commutatorC2×C13C23×C42
FittingC13×#518C4
socleC22×C13C24×C4
prime radicalC22×D4×D13C22
cosocleC22×D13C25
hypercenter#518#261
hypocenterC13C4×#518
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #518

4186 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

238 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#261×#3484
maximal normal subgroup of#261×#3484

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114109);