Finite Group Databasebeta

D17×#2972 #17899042

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

Aliases

direct productD17×#2972

Splittings

FittingC17×#2972 ⋊ C2
SylowC17 ⋊ C2×#2972

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D17
commutatorC2×C17C24×C8
FittingC17×#2972C2
socleC22×C17C24×C4
prime radicalC22×D4×D17C4
cosocleC2×C4×C17C25
hypercenter#2972D17
hypocenterC17C2×#2972
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2972

2890 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

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, 1034286);