Finite Group Databasebeta

C2×#14545208 #17978841

order4352
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14545208

Splittings

SylowC17 ⋊ C2×#2258

Subgroups

subgroupG/H
centerC2×C8C22×#595
commutatorC2×C17C23×C16
FrattiniC8C23×#595
FittingC2×C17×M32C4
socleC22×C17C22×C16
prime radicalC2×#63252C8
cosocle#63214C24
hypercenterC2×M32#595
hypocenterC17C2×#2258
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C8 ◁ C2×M32

470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1114085);