Finite Group Databasebeta

C2×#14545947 #17983012

order4352
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#14545947

Splittings

SylowC17 ⋊ C2×#2108

Subgroups

subgroupG/H
centerC2×C4C22×#3633
commutatorC2×C17C22×C4×C8
FrattiniC4C23×#3633
FittingC2×M16×C17C8
socleC22×C17C2×C4×C8
prime radicalC23×D17C2×C8
cosocle#63242C24
hypercenterC2×M16#3633
hypocenterC17C2×#2108
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C2×M16

854 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

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, 1118256);