Finite Group Databasebeta

Dic13×#479 #15870541

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productDic13×#479

Splittings

SylowC13 ⋊ C4×#479

Subgroups

subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#479C2
socle, prime radicalC23×C13C22×D4
cosocleC22×C4×C13C24
hypercenterC2×#479D13
hypocenterC13C4×#479
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

828 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 177190);