Finite Group DatabasebetaFinite Group Databasebeta| order | 2904 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C11 · Schur multiplier (H2) = C2 |
| direct product | C3×C11×C22⋊D11 |
| Fitting | C22×C3×C112 ⋊ C2 |
| Hall | C3×C112 ⋊ D4 |
| Sylow | C112 ⋊ C3×D4 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 132 |
825 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#14515540, D3×C11×C22⋊D11, #72247204, … |
| maximal normal subgroup of | C3×#14515540, D3×C11×C22⋊D11, #72247204, … |
Past the SmallGroups library coverage — no SmallGroups id.