Finite Group Databasebeta

← Prev (#72253907) Next (#72253909) →

D3×#60398 #72253908

order1536
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C215

Aliases

direct productD3×#60398

Splittings

FittingC3×#60398 ⋊ C2
SylowC3 ⋊ C2×#60398

Subgroups

subgroupG/H
centerC4C2×D3×#120
commutator, cosocleC23×C3C26
FrattiniC23C25×D3
FittingC3×#60398C2
socleC2×C3C23×#120
hypercenter#60398D3
hypocenterC3C2×#60398
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C4 ◁ C23×C4 ◁ #60398

44564 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 96

Conjugacy classes & character table

174 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofD3×#6437576
maximal normal subgroup ofD3×#6437576

GAP

Past the SmallGroups library coverage — no SmallGroups id.