Finite Group Databasebeta

C2×D13×#410 #16726381

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4

Aliases

direct productC2×D13×#410

Splittings

FittingC2×C13×#410 ⋊ C2
SylowC13 ⋊ C22×#410

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC2×C13×#410C2
socleC22×C13C22×C22⋊C4
prime radicalC22×#41×D13C2
cosocleC23×C13C25
hypercenterC2×#410D13
hypocenterC13C22×#410
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#410

5278 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1033030);