Finite Group Databasebeta

D17×#2061 #17062425

order4352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD17×#2061

Splittings

FittingC17×#2061 ⋊ C2
SylowC17 ⋊ C2×#2061

Subgroups

subgroupG/H
centerC22#120×D17
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC17×#2061C2
socleC22×C17C2×#120
prime radicalC23×D17C2×D4
hypercenter#2061D17
hypocenterC17C2×#2061
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2061

1130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 197669);