Finite Group Databasebeta

Dic13×#564 #16025641

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

Aliases

direct productDic13×#564

Splittings

SylowC13 ⋊ C4×#564

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC2×C13×#564C2
socle, prime radical, cosocleC23×C13C25
hypercenterC2×#564D13
hypocenterC13C4×#564
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#564

1800 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

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, 332290);