Finite Group Databasebeta

C2×#14544059 #17964371

order4352
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#14544059

Splittings

SylowC17 ⋊ C2×#1471

Subgroups

subgroupG/H
centerC23C2×C22⋊#595
commutatorC23×C17C23×C4
FrattiniC23C23×#595
FittingC23×D4×C17C4
socleC23×C17C2×C22⋊C4
prime radicalC22×#10587624C2
cosocleC22×Dic17C24
hypercenterC23×D4#595
hypocenterC17C2×#1471
LCSG ▷ C23×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C23×D4

1770 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

224 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1099615);