Finite Group DatabasebetaFinite Group Databasebeta| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | AGL(1,ℤ/9)×#525 |
| Fitting | 3−1+2×#525 ⋊ C2 |
| Sylow | 3−1+2 ⋊ C2×#525 |
5805 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | AGL(1,ℤ/9)×#3484 |
| maximal normal subgroup of | AGL(1,ℤ/9)×#3484 |
Past the SmallGroups library coverage — no SmallGroups id.