Finite Group Databasebeta

D17×#2273 #17192527

order4352
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD17×#2273

Splittings

FittingC17×#2273 ⋊ C2
SylowC17 ⋊ C2×#2273

Subgroups

subgroupG/H
center, FrattiniC23C24×D17
commutatorC2×C17C23×C42
FittingC17×#2273C2
socle, cosocleC23×C17C25
prime radicalC25×D17C22
hypercenter#2273D17
hypocenterC17C2×#2273
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2273

5790 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 327771);