Finite Group Databasebeta

C2×#14545889 #17982822

order4352
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14545889

Splittings

SylowC17 ⋊ C2×M128

Subgroups

subgroupG/H
centerC2×C8C2×#3633
commutatorC2×C17C22×C32
FrattiniC8C22×#3633
FittingC2×C16×C17C8
socleC22×C17C2×C32
prime radicalC22×D17C32
cosocle#10587467C23
hypercenterC2×C16#3633
hypocenterC17C2×M128
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C8 ◁ C2×C16

134 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

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, 1118066);