Finite Group Databasebeta

D17×#1436 #16955445

order4352
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4

Aliases

direct productD17×#1436

Splittings

FittingC17×#1436 ⋊ C2
SylowC17 ⋊ C2×#1436

Subgroups

subgroupG/H
center, FrattiniC24C23×D17
commutatorC22×C17C22×C42
FittingC17×#1436C2
socle, cosocleC24×C17C24
prime radicalC24×D17C23
hypercenter#1436D17
hypocenterC17C2×#1436
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1436

3550 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

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, 90689);