Finite Group Databasebeta

C2×#13120318 #16034263

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×#13120318

Splittings

FittingC2×C13×#393 ⋊ C2
SylowC13 ⋊ C2×#2592

Subgroups

subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#393C2
socleC24×C13C24
prime radicalC23×C22⋊D13C22
hypercenterC2×#393D13
hypocenterC13C2×#2592
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#393

2918 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, 340912);