Finite Group Databasebeta

D17×#2352 #17193643

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4

Aliases

direct productD17×#2352

Splittings

FittingC17×#2352 ⋊ C2
SylowC17 ⋊ C2×#2352

Subgroups

subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2352C2
socle, cosocleC23×C17C25
prime radicalC22×D4×D17C22
hypercenter#2352D17
hypocenterC17C2×#2352
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2352

3894 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 328887);