Finite Group DatabasebetaFinite Group Databasebeta| order | 4032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×D7×#805 |
| Fitting | C32×C42×C7 ⋊ C22 |
| Hall | C32×C7 ⋊ C2×#104 |
| Sylow | C32 ⋊ D7×#104 |
| Sylow | C7 ⋊ C2×C3×#805 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
450 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D7×#10590393, C3×D7×#5077, D7×#10590397 |
| maximal normal subgroup of | D7×#10590393, C3×D7×#5077, D7×#10590397 |
Past the SmallGroups library coverage — no SmallGroups id.