Finite Group Databasebeta

C2×#14544382 #17966607

order4352
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC2×#14544382

Splittings

SylowC17 ⋊ C2×#1580

Subgroups

subgroupG/H
centerC23D4×#595
commutatorC4×C17C23×C8
FrattiniC2×C4C23×#595
FittingC2×C17×#107C4
socleC23×C17C4×D4
prime radicalC22×D136C4
cosocleC4×Dic17C24
hypercenterC2×#107#595
hypocenterC17C2×#1580
LCSG ▷ C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#107

894 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

200 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1101851);