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C2×D17⋊#338 #17968173

order4352
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27

Aliases

direct productC2×D17⋊#338
unambiguous semidirect productD17⋊(C2×#338)

Splittings

SylowC17 ⋊ C22×#338

Subgroups

subgroupG/H
centerC2×C4C2×C4×#595
commutatorC4×C17C22×C42
FrattiniC2×C4C23×#595
FittingC22×M16×C17C4
socleC22×C17C2×#95
prime radicalC24×D17Q8
cosocleC2×C4×D17C24
hypercenterC22×M16#595
hypocenterC17C22×#338
LCSG ▷ C4×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C22×M16

2110 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

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, 1103417);