Finite Group Databasebeta

C2×D17⋊#436 #17979662

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×D17⋊#436
unambiguous semidirect productD17⋊(C2×#436)

Splittings

SylowC17 ⋊ C22×#436

Subgroups

subgroupG/H
centerC22×C4C22×#595
commutatorC22×C17C24×C4
FrattiniC22C24×#595
FittingC2×C4×D4×C17C4
socleC23×C17C23×C4
prime radicalC22×D4×D17C4
cosocleC2×Dic17C25
hypercenterC2×C4×D4#595
hypocenterC17C22×#436
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C2×C4×D4

3262 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1114906);