Finite Group Databasebeta

#261×#577 #16808370

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct product#261×#577

Splittings

FittingC13×#577 ⋊ C4
SylowC13 ⋊ C4×#577

Subgroups

subgroupG/H
centerC2C22×D4×#261
commutatorC4×C13C24×C4
FrattiniC4C24×#261
FittingC13×#577C4
socleC2×C13C22×C4×D4
prime radicalD13×#577C2
cosocleC4×D13C25
hypercenter#577#261
hypocenterC13C4×#577
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ #41 ◁ #577

2742 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

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, 1115019);