Finite Group Databasebeta

C4×#11718338 #15784749

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC4×#11718338

Splittings

FittingC4×C13×#95 ⋊ C2
SylowC13 ⋊ C4×#399

Subgroups

subgroupG/H
centerC23×C4C22×D13
commutatorC23×C13C23×C4
FrattiniC24C23×D13
FittingC4×C13×#95C2
socle, cosocleC24×C13C24
prime radicalC24×D13C23
hypercenterC4×#95D13
hypocenterC13C4×#399
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23×C4 ◁ C4×#95

1966 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 91398);