Finite Group Databasebeta

D17×#2045 #17062104

order4352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD17×#2045

Splittings

FittingC17×#2045 ⋊ C2
SylowC17 ⋊ C2×#2045

Subgroups

subgroupG/H
centerC22#121×D17
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC17×#2045C2
socleC22×C17C2×#121
prime radicalC22×D8×D17C2
hypercenter#2045D17
hypocenterC17C2×#2045
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2045

1586 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 197348);