Finite Group Databasebeta

D17×#2378 #17196924

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD17×#2378

Splittings

FittingC17×#2378 ⋊ C2
SylowC17 ⋊ C2×#2378

Subgroups

subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2378C2
socle, cosocleC23×C17C25
prime radicalC24×D17C23
hypercenter#2378D17
hypocenterC17C2×#2378
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2378

2566 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 332168);