Finite Group DatabasebetaFinite Group Databasebeta| order | 4032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C7 · Schur multiplier (H2) = C23 |
| direct product | C7×#10591510 |
| Hall | C32×C7 ⋊ #453 |
| Sylow | C32 ⋊ C7×#453 |
780 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 128 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 168 |
378 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C7×#11864777, D7×#10591510, #72247077 |
| maximal normal subgroup of | C7×#11864777, D7×#10591510, #72247077 |
Past the SmallGroups library coverage — no SmallGroups id.