Finite Group Databasebeta

Dic13×#554 #16022893

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

Aliases

direct productDic13×#554

Splittings

SylowC13 ⋊ C4×#554

Subgroups

subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC2×C13×#554C2
socle, cosocleC23×C13C25
prime radicalC22×D4×C13C23
hypercenterC2×#554D13
hypocenterC13C4×#554
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#554

2516 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, 329542);