Finite Group DatabasebetaFinite Group Databasebeta| order | 3264 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | #67×#3633 |
| Fitting | C22×C3×C17 ⋊ C2×C8 |
| Hall | C3×C17 ⋊ C8×D4 |
| Sylow | C17 ⋊ C8×#67 |
| Sylow | C3 ⋊ D4×#3633 |
268 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 72 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 204 |
90 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.