Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C42 · Schur multiplier (H2) = C23×C8 |
| direct product | C3×D3×#1455 |
| Fitting | C32×#1455 ⋊ C2 |
| Sylow | C32 ⋊ C2×#1455 |
2095 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
504 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D3×#19745, AGL(1,ℤ/9)×#1455 |
| maximal normal subgroup of | C3×D3×#19745 |
| maximal quotient of | AGL(1,ℤ/9)×#1455 |
Past the SmallGroups library coverage — no SmallGroups id.