Finite Group Databasebeta

#261×#427 #16797193

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct product#261×#427

Splittings

FittingC13×#427 ⋊ C4
SylowC13 ⋊ C4×#427

Subgroups

subgroupG/H
centerC2×C4D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC13×#427C4
socleC22×C13C2×C4×D4
prime radicalC23×D13C2×D4
cosocleC2×C4×D13C24
hypercenter#427#261
hypocenterC13C4×#427
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ #427

1182 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, 1103842);