Finite Group Databasebeta

Dic13×#334 #15754102

order3328
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productDic13×#334

Splittings

SylowC13 ⋊ C4×#334

Subgroups

subgroupG/H
centerC22×C4D4×D13
commutatorC4×C13C2×C4×C8
FrattiniC2×C42C22×D13
FittingC2×C13×#334C2
socle, prime radicalC23×C13C2×C4⋊C4
cosocleC2×C42×C13C23
hypercenterC2×#334D13
hypocenterC13C4×#334
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×#334

470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

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, 60751);