Finite Group Databasebeta

#261×#491 #16800316

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

Aliases

direct product#261×#491

Splittings

FittingC13×#491 ⋊ C4
SylowC13 ⋊ C4×#491

Subgroups

subgroupG/H
centerC22C2×D4×#261
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC13×#491C4
socleC22×C13C2×C4×D4
prime radicalC22×D13C22×D4
cosocleC2×C4×D13C24
hypercenter#491#261
hypocenterC13C4×#491
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ #491

802 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

112 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1106965);