Finite Group Databasebeta

D17×#2280 #17192589

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4

Aliases

direct productD17×#2280

Splittings

FittingC17×#2280 ⋊ C2
SylowC17 ⋊ C2×#2280

Subgroups

subgroupG/H
centerC22×C4C23×D17
commutatorC22×C17C24×C4
FrattiniC23C24×D17
FittingC17×#2280C2
socle, cosocleC23×C17C25
prime radicalC25×D17C22
hypercenter#2280D17
hypocenterC17C2×#2280
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ #2280

7630 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 327833);