Finite Group Databasebeta

C2×D13×#353 #16015689

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4

Aliases

direct productC2×D13×#353

Splittings

FittingC2×C13×#353 ⋊ C2
SylowC13 ⋊ C22×#353

Subgroups

subgroupG/H
centerC22D13×#99
commutatorC2×C4×C13C23×C4
FrattiniC2×D4C23×D13
FittingC2×C13×#353C2
socleC22×C13C2×#99
prime radicalC2×D13×#127C2
cosocleC2×D4×C13C24
hypercenterC2×#353D13
hypocenterC13C22×#353
LCSG ▷ C2×C4×C13 ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23 ◁ C22×D4 ◁ C2×#353

2062 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

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, 322338);