Finite Group Databasebeta

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D3×#6437475 #72255162

order3072
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C216

Aliases

direct productD3×#6437475

Splittings

FittingC3×#6437475 ⋊ C2
SylowC3 ⋊ C2×#6437475

Subgroups

subgroupG/H
centerC22C22×D3×#120
commutator, cosocleC22×C3×C4C26
FrattiniC22×C4C25×D3
FittingC3×#6437475C2
socleC22×C3C23×#120
hypercenter#6437475D3
hypocenterC3C2×#6437475
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C24×C4 ◁ #6437475

At least 16814 conjugacy classes of subgroups; only the 5787 normal subgroups are shown.

Full subgroup data →

Conjugacy classes & character table

240 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.