Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
296 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 2. #14531066 | C2 | semidirect |
| 3. #14530921 | C2 | semidirect |
| 4. #14528174 | C2 | semidirect |
| 5. #14526843 | C2 | semidirect |
| 6. #14526740 | C2 | semidirect |
| 7. C17×#1331 | C2 | semidirect |
| 114. #1331 | D17 | semidirect |
| 181. C17 | #12395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541208 | 2 |
| #14531066 | 2 |
| #14530921 | 2 |
| #14528174 | 2 |
| #14526843 | 2 |
| #14526740 | 2 |
| C17×#1331 | 2 |
| #12395 | 17 |