Finite Group Databasebeta

← Prev (#72271978) Next (#72271980) →

D3×#511853 #72271979

order3072
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C212

Aliases

direct productD3×#511853

Splittings

FittingC3×#511853 ⋊ C2
SylowC3 ⋊ C2×#511853

Subgroups

subgroupG/H
centerC2D3×#32899
commutator, cosocleC22×C3×D4C25
FrattiniC22×D4C24×D3
FittingC3×#511853C2
socleC2×C3C2×#32899
hypercenter#511853D3
hypocenterC3C2×#511853
LCSG ▷ C22×C3×D4 ▷ C22×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2 ◁ C23 ◁ #518 ◁ #511853

At least 22094 conjugacy classes of subgroups; only the 1141 normal subgroups are shown.

Full subgroup data →

Conjugacy classes & character table

159 conjugacy classes — view the full character table.

GAP

Past the SmallGroups library coverage — no SmallGroups id.