Finite Group Databasebeta

← Prev (#72254103) Next (#72254105) →

D3×#394040 #72254104

order3072
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C213

Aliases

direct productD3×#394040

Splittings

FittingC3×#394040 ⋊ C2
SylowC3 ⋊ C2×#394040

Subgroups

subgroupG/H
centerC22C2×D3×#392
commutator, cosocleC23×C3×C4C25
FrattiniC23×C4C24×D3
FittingC3×#394040C2
socleC22×C3C22×#392
hypercenter#394040D3
hypocenterC3C2×#394040
LCSG ▷ C23×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C24×C4 ◁ #394040

At least 9346 conjugacy classes of subgroups; only the 1955 normal subgroups are shown.

Full subgroup data →

Conjugacy classes & character table

204 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofD3×#72214076
maximal normal subgroup ofD3×#72214076

GAP

Past the SmallGroups library coverage — no SmallGroups id.