Finite Group Databasebeta

← Prev (#72248487) Next (#72248489) →

D3×#147819 #72248488

order3072
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C29

Aliases

direct productD3×#147819

Splittings

FittingC3×#147819 ⋊ C2
SylowC3 ⋊ C2×#147819

Subgroups

subgroupG/H
centerC22D3×#1790
commutatorC22×C3×D4C23×C4
FrattiniC23×D4C23×D3
FittingC3×#147819C2
socleC22×C3C2×#1790
prime radicalD3×#36737C2
cosocleC23×C3×D4C24
hypercenter#147819D3
hypocenterC3C2×#147819
LCSG ▷ C22×C3×D4 ▷ C22×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ #147819

At least 10976 conjugacy classes of subgroups; only the 839 normal subgroups are shown.

Full subgroup data →

Conjugacy classes & character table

168 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofD3×#72213329
maximal normal subgroup ofD3×#72213329
maximal quotient ofD3×#72213274

GAP

Past the SmallGroups library coverage — no SmallGroups id.