Finite Group Databasebeta

Dic13×#341 #15768104

order3328
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C22×C42

Aliases

direct productDic13×#341

Splittings

SylowC13 ⋊ C4×#341

Subgroups

subgroupG/H
centerC22×C4D4×D13
commutatorC4×C13C43
FrattiniC23×C4C22×D13
FittingC2×C13×#341C2
socleC23×C13C2×C4⋊C4
prime radicalC24×C13C2×Q8
cosocleC23×C4×C13C23
hypercenterC2×#341D13
hypocenterC13C4×#341
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#341

910 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 74753);