Finite Group Databasebeta

C2×D13×#384 #16021207

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

Aliases

direct productC2×D13×#384

Splittings

FittingC2×C13×#384 ⋊ C2
SylowC13 ⋊ C22×#384

Subgroups

subgroupG/H
centerC24C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC2×C13×#384C2
socleC24×C13C24
prime radicalC24×D13C23
cosocleC23×C13C25
hypercenterC2×#384D13
hypocenterC13C22×#384
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#384

5502 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327856);