Finite Group Databasebeta

Dic13×#518 #16021155

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productDic13×#518

Splittings

SylowC13 ⋊ C4×#518

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC2×C13C23×C42
FittingC2×C13×#518C2
socle, cosocleC23×C13C25
prime radicalC23×D4×C13C22
hypercenterC2×#518D13
hypocenterC13C4×#518
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#518

4186 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 327804);