Finite Group Databasebeta

D17×#1437 #16955457

order4352
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD17×#1437

Splittings

FittingC17×#1437 ⋊ C2
SylowC17 ⋊ C2×#1437

Subgroups

subgroupG/H
center, FrattiniC24C23×D17
commutatorC22×C17C22×C42
FittingC17×#1437C2
socle, cosocleC24×C17C24
prime radicalC25×D17C22
hypercenter#1437D17
hypocenterC17C2×#1437
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1437

5230 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

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, 90701);