Finite Group Databasebeta

D17×#2989 #17899372

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

Aliases

direct productD17×#2989

Splittings

FittingC17×#2989 ⋊ C2
SylowC17 ⋊ C2×#2989

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2989C2
prime radicalC2×#41×D17C4
cosocleC2×C4×C17C25
hypercenter#2989D17
hypocenterC17C2×#2989
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2989

2154 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1034616);