Finite Group Databasebeta

D17×#2258 #17192431

order4352
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productD17×#2258

Splittings

FittingC17×#2258 ⋊ C2
SylowC17 ⋊ C2×#2258

Subgroups

subgroupG/H
centerC32C22×D17
commutator, socleC2×C17C23×C16
FrattiniC16C23×D17
FittingC17×#2258C2
prime radical#41×D17C8
cosocleC16×C17C24
hypercenter#2258D17
hypocenterC17C2×#2258
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C32 ◁ #2258

470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 327675);