Finite Group Databasebeta

Dic13×#342 #15768120

order3328
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productDic13×#342

Splittings

SylowC13 ⋊ C4×#342

Subgroups

subgroupG/H
centerC23C22⋊C4×D13
commutatorC22×C13C43
FrattiniC25C22×D13
FittingC2×C13×#342C2
socleC23×C13C2×C22⋊C4
prime radical, cosocleC25×C13C23
hypercenterC2×#342D13
hypocenterC13C4×#342
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C25 ◁ C2×#342

1482 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 74769);