Finite Group Databasebeta

C2×D13⋊#504 #16809616

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

Aliases

direct productC2×D13⋊#504
unambiguous semidirect productD13⋊(C2×#504)

Splittings

SylowC13 ⋊ C22×#504

Subgroups

subgroupG/H
centerC2×C8C22×#261
commutatorC2×C13C24×C8
FrattiniC4C24×#261
FittingC2×C13×#131C4
socleC22×C13C23×C8
prime radicalC2×#41×D13C4
cosocle#1055C25
hypercenterC2×#131#261
hypocenterC13C22×#504
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C2×#131

2118 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1116265);