Finite Group Databasebeta

D17×#2901 #17897919

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

Aliases

direct productD17×#2901

Splittings

FittingC17×#2901 ⋊ C2
SylowC17 ⋊ C2×#2901

Subgroups

subgroupG/H
centerC4C22×D4×D17
commutatorC4×C17C24×C4
FrattiniC2×C4C24×D17
FittingC17×#2901C2
socleC2×C17C23×C22⋊C4
prime radicalD17×#585C2
cosocleC2×C4×C17C25
hypercenter#2901D17
hypocenterC17C2×#2901
LCSG ▷ C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C4 ◁ C2×#41 ◁ #2901

4946 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 272

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, 1033163);