Finite Group Databasebeta

D17×#2883 #17897790

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD17×#2883

Splittings

FittingC17×#2883 ⋊ C2
SylowC17 ⋊ C2×#2883

Subgroups

subgroupG/H
centerC2C22×C22⋊C4×D17
commutatorC22×C17C24×C4
FrattiniC23C24×D17
FittingC17×#2883C2
socleC2×C17C23×C22⋊C4
prime radicalC2×H(5,𝔽2)×D17C2
cosocleC23×C17C25
hypercenter#2883D17
hypocenterC17C2×#2883
LCSG ▷ C22×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2 ◁ C22×D4 ◁ #2883

5338 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 272

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1033034);