Finite Group Databasebeta

C2×#14529953 #17061745

order4352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#14529953

Splittings

FittingC2×C17×#533 ⋊ C2
SylowC17 ⋊ C2×#2031

Subgroups

subgroupG/H
centerC2×C4#10587633
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC2×C17×#533C2
socleC22×C17#393
prime radicalC22×#63252C22
hypercenterC2×#533D17
hypocenterC17C2×#2031
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#533

1234 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

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, 196989);