Finite Group DatabasebetaFinite Group Databasebeta| order | 11466 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3 · Schur multiplier (H2) = C7 |
| direct product | D3×C13⋊#3862 |
| unambiguous semidirect product | C3⋊(C2×C13⋊#3862) |
| unambiguous semidirect product | (D3×C13)⋊#3862 |
| Fitting, socle, derived | C3×C72×C13 ⋊ C2×C3 |
| Hall | C3×C13⋊#3862 ⋊ C2 |
| Hall | C72×C13 ⋊ C3×D3 |
| Sylow | C72 ⋊ D3×C13⋊C3 |
| Sylow | C13 ⋊ D3×#3862 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C72×C13 | C2×C3 |
| LCS | G ▷ C3×C72×C13 | |
| UCS | C1 | |
88 conjugacy classes of subgroups.
645 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#16838462, D3×#16838463, D3×#16838464, … |
| maximal normal subgroup of | D3×#16838462, D3×#16838463, D3×#16838464, … |
| maximal quotient of | Dic3×C13⋊#3862, C2×D3×C13⋊#3862 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11466, 327);