Finite Group Databasebeta

D3×#3963 #11748879

order960
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productD3×#3963

Splittings

HallC3×C5 ⋊ C2×#95
SylowC5 ⋊ D3×#95
SylowC3 ⋊ C2×#3963

Subgroups

subgroupG/H
center, FrattiniC23C2×D3×D5
commutatorC2×C3×C5C2×C42
FittingC22×C3×C4×C5C22
socle, cosocleC23×C3×C5C23
prime radicalC23×C5×D3C22
hypercenterC22×C4D3×D5
hypocenterC3×C5C2×#95
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×C4

660 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 480

Conjugacy classes & character table

156 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofD3×#64757, D3×#64690, D3×#64758, …
maximal normal subgroup ofD3×#64757, D3×#64690, D3×#64758, …
maximal quotient ofDic3×#3963, #14279871, #14279874, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 3074);