Finite Group Databasebeta

Dic13×#555 #16022863

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productDic13×#555

Splittings

SylowC13 ⋊ C4×#555

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
Fitting, prime radicalC2×C13×#555C2
socle, cosocleC23×C13C25
hypercenterC2×#555D13
hypocenterC13C4×#555
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#555

2564 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 329512);