Finite Group Databasebeta

C2×D17×#518 #17940901

order4352
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC2×D17×#518

Splittings

FittingC2×C17×#518 ⋊ C2
SylowC17 ⋊ C22×#518

Subgroups

subgroupG/H
centerC23C24×D17
commutatorC2×C17C25×C4
FrattiniC22C25×D17
FittingC2×C17×#518C2
socleC23×C17C25
prime radicalC23×D4×D17C2
cosocleC22×C17C26
hypercenterC2×#518D17
hypocenterC17C22×#518
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#518

14590 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1076145);