Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
582 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 159 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14531031 | C2 | semidirect |
| 4. #14531030 | C2 | semidirect |
| 5. #14531029 | C2 | semidirect |
| 6. #14531028 | C2 | semidirect |
| 9. C17×#2245 | C2 | semidirect |
| 137. #2245 | D17 | direct (N × H) |
| 179. D17 | #2245 | direct (N × H) |
| 216. C17 | C2×#2245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17×#499 | 2 |
| D17×#494 | 2 |
| #14531031 | 2 |
| #14531030 | 2 |
| #14531029 | 2 |
| #14531028 | 2 |
| D17×#358 | 2 |
| D17×#346 | 2 |
| C17×#2245 | 2 |
| C2×#2245 | 17 |