Finite Group Databasebeta

D17×#2110 #17186979

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

Aliases

direct productD17×#2110

Splittings

FittingC17×#2110 ⋊ C2
SylowC17 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC8C42×D17
commutatorC4×C17C22×C42
FrattiniC2×C8C23×D17
FittingC17×#2110C2
socleC2×C17C22×#97
prime radicalC23×D17M16
cosocleC2×C8×C17C24
hypercenter#2110D17
hypocenterC17C2×#2110
LCSG ▷ C4×C17 ▷ C17
UCSC1 ◁ C8 ◁ #2110

738 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

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, 322223);