Finite Group Databasebeta

D17×#2988 #17899366

order4352
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productD17×#2988

Splittings

FittingC17×#2988 ⋊ C2
SylowC17 ⋊ C2×#2988

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D17
commutatorC2×C17C24×C8
FittingC17×#2988C2
socleC22×C17C24×C4
prime radicalC2×#41×D17C4
cosocleC2×C4×C17C25
hypercenter#2988D17
hypocenterC17C2×#2988
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2988

2434 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

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, 1034610);