Finite Group Databasebeta

C2×#13120565 #16029969

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13120565

Splittings

SylowC13 ⋊ C2×#2616

Subgroups

subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
Fitting, prime radicalC23×C13×#41C2
socleC24×C13C24
hypercenterC23×#41D13
hypocenterC13C2×#2616
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C23×#41

5390 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 336618);