Finite Group Databasebeta

C2×#14529961 #17061762

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

Aliases

direct productC2×#14529961

Splittings

SylowC17 ⋊ C2×#2032

Subgroups

subgroupG/H
centerC22#11762721
commutator, cosocleC24×C17C24
FrattiniC24C23×D17
FittingC22×C17×#99C2
socleC22×C17#393
prime radicalC23×D4×C17C22
hypercenterC22×#99D17
hypocenterC17C2×#2032
LCSG ▷ C24×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C25 ◁ C22×#99

1434 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 197006);