Finite Group Databasebeta

#261×#408 #16796881

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct product#261×#408

Splittings

FittingC13×#408 ⋊ C4
SylowC13 ⋊ C4×#408

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×#261
commutator, socleC22×C13C22×C42
FittingC13×#408C4
prime radicalC2×#41×D13C22
cosocleC2×C4×D13C24
hypercenter#408#261
hypocenterC13C4×#408
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #408

1662 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, 1103530);