Finite Group Databasebeta

← Prev (#72248805) Next (#72248807) →

D3×#417670 #72248806

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

Aliases

direct productD3×#417670

Splittings

FittingC3×#417670 ⋊ C2
SylowC3 ⋊ C2×#417670

Subgroups

subgroupG/H
centerC22D3×#2403
commutator, cosocleC23×C3×C4C25
FrattiniC23×C4C24×D3
FittingC3×#417670C2
socleC22×C3C2×#2403
hypercenter#417670D3
hypocenterC3C2×#417670
LCSG ▷ C23×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #417670

At least 12520 conjugacy classes of subgroups; only the 1459 normal subgroups are shown.

Full subgroup data →

Conjugacy classes & character table

186 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.