Finite Group DatabasebetaFinite Group Databasebeta| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C27×C3 |
| direct product | C22×C3×#64269 |
| Fitting | C26×C32 ⋊ D3 |
9357 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22×#72220155 |
| maximal quotient of | C22×#72220152 |
Past the SmallGroups library coverage — no SmallGroups id.