Finite Group Databasebeta

C2×#13129329 #16770753

order3328
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#13129329

Splittings

SylowC13 ⋊ C2×#3556

Subgroups

subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#541C2
socleC23×C13C25
prime radicalC24×C13C24
hypercenterC2×#541D13
hypocenterC13C2×#3556
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#541

6338 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1077402);