Finite Group Databasebeta

D17×#2399 #17200600

order4352
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD17×#2399

Splittings

FittingC17×#2399 ⋊ C2
SylowC17 ⋊ C2×#2399

Subgroups

subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC17×#2399C2
prime radicalC23×D17C24
hypercenter#2399D17
hypocenterC17C2×#2399
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ #2399

2814 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

440 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 335844);