Finite Group Databasebeta

D17×#1828 #17034176

order4352
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD17×#1828

Splittings

FittingC17×#1828 ⋊ C2
SylowC17 ⋊ C2×#1828

Subgroups

subgroupG/H
centerC2D17×#381
commutatorC23×C17C23×C4
FrattiniC24C23×D17
FittingC17×#1828C2
socleC2×C17C2×#381
prime radicalC22×D4×D17C22
cosocleC24×C17C24
hypercenter#1828D17
hypocenterC17C2×#1828
LCSG ▷ C23×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2 ◁ C24 ◁ #1828

1554 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 272

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 169420);