Finite Group Databasebeta

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D3×#6499855 #72272012

order3072
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C215

Aliases

direct productD3×#6499855

Splittings

FittingC3×#6499855 ⋊ C2
SylowC3 ⋊ C2×#6499855

Subgroups

subgroupG/H
centerC2D3×#35346
commutator, cosocleC22×C3×C4C26
FrattiniC22×C4C25×D3
FittingC3×#6499855C2
socleC2×C3C2×#35346
hypercenter#6499855D3
hypocenterC3C2×#6499855
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2 ◁ C22×C4 ◁ #6499855

Only the 4613 normal subgroups are shown; non-normal subgroups are omitted.

Full subgroup data →

Conjugacy classes & character table

204 conjugacy classes — view the full character table.

GAP

Past the SmallGroups library coverage — no SmallGroups id.