Finite Group Databasebeta

C2×D13×#401 #16029212

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×D13×#401

Splittings

FittingC2×C13×#401 ⋊ C2
SylowC13 ⋊ C22×#401

Subgroups

subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#401C2
socleC24×C13C24
prime radicalC24×D13C23
hypercenterC2×#401D13
hypocenterC13C22×#401
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#401

2942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

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, 335861);