Finite Group Databasebeta

C2×#14543385 #17941705

order4352
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#14543385

Splittings

FittingC2×C17×#552 ⋊ C2
SylowC17 ⋊ C2×#3563

Subgroups

subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#552C2
socleC23×C17C25
prime radicalC2×#10587625C22
hypercenterC2×#552D17
hypocenterC17C2×#3563
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#552

6458 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1076949);