Finite Group Databasebeta

Dic13×#560 #16025607

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productDic13×#560

Splittings

SylowC13 ⋊ C4×#560

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
Fitting, prime radicalC2×C13×#560C2
socle, cosocleC23×C13C25
hypercenterC2×#560D13
hypocenterC13C4×#560
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#560

2568 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 332256);