Finite Group Databasebeta

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D3×#10590393 #72220379

order3456
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD3×#10590393

Splittings

FittingC33×C42 ⋊ C23
SylowC33 ⋊ C22×#104

Subgroups

subgroupG/H
centerC4D3×#3802
commutatorC33×C4C23×C4
FrattiniC2×C4C2×D33
FittingC33×C42C23
socleC2×C33C22×C22⋊C4
prime radicalD3×#64306C2
cosocleC2×C33×C4C24
hypercenterC42D33
hypocenterC33C22×#104
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C4 ◁ C2×C4 ◁ C42

4370 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

216 conjugacy classes — view the full character table.

Relationships

maximal normal subgroup ofD3×#11864777

GAP

Past the SmallGroups library coverage — no SmallGroups id.