Finite Group Databasebeta

D17×#1451 #16999919

order4352
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productD17×#1451

Splittings

FittingC17×#1451 ⋊ C2
SylowC17 ⋊ C2×#1451

Subgroups

subgroupG/H
center, FrattiniC42C23×D17
commutator, socleC22×C17C22×C42
FittingC17×#1451C2
prime radicalC23×D17C42
cosocleC42×C17C24
hypercenter#1451D17
hypocenterC17C2×#1451
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C42 ◁ #1451

966 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 135163);