Finite Group Databasebeta

C2×D13⋊#421 #16808109

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×D13⋊#421
unambiguous semidirect productD13⋊(C2×#421)

Splittings

FittingC22×C13×#41 ⋊ C4
SylowC13 ⋊ C22×#421

Subgroups

subgroupG/H
centerC2×C4C2×C22⋊#261
commutatorC4×C13C24×C4
FrattiniC4C24×#261
FittingC22×C13×#41C4
socleC22×C13C22×C22⋊C4
prime radicalC22×#41×D13C2
cosocleC4×D13C25
hypercenterC22×#41#261
hypocenterC13C22×#421
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#41

5198 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114758);