Finite Group Databasebeta

C2×C13⋊#2104 #15893907

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

Aliases

direct productC2×C13⋊#2104
unambiguous semidirect product(C2×C13)⋊#2104

Splittings

SylowC13 ⋊ C2×#2104

Subgroups

subgroupG/H
centerC22C13⋊#401
commutator, cosocleC24×C13C24
FrattiniC24C23×D13
FittingC2×C13×#342C2
socleC22×C13#401
prime radicalC25×C13C23
hypercenterC2×#342D13
hypocenterC13C2×#2104
LCSG ▷ C24×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C25 ◁ C2×#342

822 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 200556);