Finite Group Databasebeta

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D3×#12605 #72219829

order1536
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C26

Aliases

direct productD3×#12605

Splittings

FittingC3×#12605 ⋊ C2
SylowC3 ⋊ C2×#12605

Subgroups

subgroupG/H
centerC2×C4C2×C42×D3
commutatorC2×C3×C4C22×C42
FrattiniC22×C8C23×D3
FittingC3×#12605C2
socleC22×C3C22×#97
prime radicalC24×D3M16
cosocleC22×C3×C8C24
hypercenter#12605D3
hypocenterC3C2×#12605
LCSG ▷ C2×C3×C4 ▷ C3
UCSC1 ◁ C2×C4 ◁ #12605

2876 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

192 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofD3×#495725, D3×#495505
maximal normal subgroup ofD3×#495725, D3×#495505

GAP

Past the SmallGroups library coverage — no SmallGroups id.