Finite Group Databasebeta

#261×#432 #16797246

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct product#261×#432

Splittings

FittingC13×#432 ⋊ C4
SylowC13 ⋊ C4×#432

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×#261
commutator, socleC22×C13C22×C42
FittingC13×#432C4
prime radicalC23×D13C22×C4
cosocleC2×C4×D13C24
hypercenter#432#261
hypocenterC13C4×#432
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #432

1206 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

196 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103895);