Finite Group Databasebeta

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D3×#394195 #72255203

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

Aliases

direct productD3×#394195

Splittings

FittingC3×#394195 ⋊ C2
SylowC3 ⋊ C2×#394195

Subgroups

subgroupG/H
centerC2×C4C2×D3×#127
commutator, cosocleC23×C3×C4C25
FrattiniC23×C4C24×D3
FittingC3×#394195C2
socleC22×C3C22×#392
hypercenter#394195D3
hypocenterC3C2×#394195
LCSG ▷ C23×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ #394195

At least 7354 conjugacy classes of subgroups; only the 1775 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.