Finite Group Databasebeta

Dic13×#322 #15752266

order3328
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productDic13×#322

Splittings

SylowC13 ⋊ C4×#322

Subgroups

subgroupG/H
center, FrattiniC2×C42C22×D13
commutatorC2×C13C42×C8
FittingC2×C13×#322C2
socle, prime radicalC23×C13C2×C42
cosocleC2×C42×C13C23
hypercenterC2×#322D13
hypocenterC13C4×#322
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C42 ◁ C2×#322

654 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 58915);