Finite Group Databasebeta

D17×#3067 #17901713

order4352
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD17×#3067

Splittings

FittingC17×#3067 ⋊ C2
SylowC17 ⋊ C2×#3067

Subgroups

subgroupG/H
centerC4#121×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3067C2
socleC2×C17C22×#121
hypercenter#3067D17
hypocenterC17C2×#3067
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C4 ◁ C22×C4 ◁ #3067

2650 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1036957);