Finite Group Databasebeta

C2×D13×#456 #16729536

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×D13×#456

Splittings

FittingC2×C13×#456 ⋊ C2
SylowC13 ⋊ C22×#456

Subgroups

subgroupG/H
centerC22D13×#120
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#456C2
socleC22×C13C2×#120
prime radicalC2×D13×2−1+4C2
hypercenterC2×#456D13
hypocenterC13C22×#456
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#456

4766 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 1036185);