Finite Group Databasebeta

D17×#2337 #17193236

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD17×#2337

Splittings

FittingC17×#2337 ⋊ C2
SylowC17 ⋊ C2×#2337

Subgroups

subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2337C2
socle, cosocleC23×C17C25
prime radicalC22×D4×D17C22
hypercenter#2337D17
hypocenterC17C2×#2337
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2337

3046 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

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, 328480);