Finite Group Databasebeta

C2×#14545368 #17979446

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#14545368

Splittings

SylowC17 ⋊ C2×#2879

Subgroups

subgroupG/H
centerC23C23×#595
commutatorC22×C17C24×C4
FrattiniC22C24×#595
FittingC23×D4×C17C4
socleC23×C17C23×C4
prime radicalC23×#63254C2
cosocleC2×Dic17C25
hypercenterC23×D4#595
hypocenterC17C2×#2879
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×D4

5150 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

248 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1114690);