Finite Group Databasebeta

C2×#13123278 #16726357

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

Aliases

direct productC2×#13123278

Splittings

FittingC2×C13×#408 ⋊ C2
SylowC13 ⋊ C2×#2879

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC2×C4C24×D13
FittingC2×C13×#408C2
socleC23×C13C23×C4
prime radicalC22×#41×D13C2
cosocleC2×C4×C13C25
hypercenterC2×#408D13
hypocenterC13C2×#2879
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#408

5150 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1033006);