Finite Group Databasebeta

#261×#442 #16797407

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

Aliases

direct product#261×#442

Splittings

FittingC13×#442 ⋊ C4
SylowC13 ⋊ C4×#442

Subgroups

subgroupG/H
centerC22C2×D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC13×#442C4
socleC22×C13C2×C4×D4
prime radicalC2×D8×D13C22
cosocleC2×C4×D13C24
hypercenter#442#261
hypocenterC13C4×#442
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ #442

1326 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

154 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1104056);