Finite Group Databasebeta

C2×#14530238 #17063246

order4352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14530238

Splittings

SylowC17 ⋊ C2×#2080

Subgroups

subgroupG/H
centerC2×C4#10587571
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC2×C17×#416C2
socleC22×C17#397
prime radicalC22×#41×C17C22
hypercenterC2×#416D17
hypocenterC17C2×#2080
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#416

906 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

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, 198490);