Finite Group Databasebeta

C2×#13131805 #16809621

order3328
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productC2×#13131805

Splittings

SylowC13 ⋊ C2×#3407

Subgroups

subgroupG/H
centerC2×C4C23×#261
commutatorC2×C13C24×C8
FrattiniC4C24×#261
FittingC22×C13×M16C4
socleC22×C13C23×C8
prime radicalC22×#6127C4
cosocle#1055C25
hypercenterC22×M16#261
hypocenterC13C2×#3407
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×M16

2074 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1116270);