Finite Group Databasebeta

D17×#1282 #16923970

order4352
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25

Aliases

direct productD17×#1282

Splittings

FittingC17×#1282 ⋊ C2
SylowC17 ⋊ C2×#1282

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D17
commutatorC22×C17C2×C4×C8
FrattiniC23×C4C22×D17
FittingC17×#1282C2
socleC22×C17C2×#95
prime radicalC24×D17C2×C4
cosocleC23×C4×C17C23
hypercenter#1282D17
hypocenterC17C2×#1282
LCSG ▷ C22×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1282

1130 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, 59214);