Finite Group Databasebeta

C2×#13119214 #16031878

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27

Aliases

direct productC2×#13119214

Splittings

FittingC2×C13×#400 ⋊ C2
SylowC13 ⋊ C2×#2493

Subgroups

subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#400C2
socleC24×C13C24
prime radicalC24×D13C23
hypercenterC2×#400D13
hypocenterC13C2×#2493
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#400

2398 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, 338527);