Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
318 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 318 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 |
|---|---|---|
| 1. #14541206 | C2 | semidirect |
| 2. #14530816 | C2 | semidirect |
| 3. #14528136 | C2 | semidirect |
| 4. #14526842 | C2 | semidirect |
| 5. #14526746 | C2 | semidirect |
| 6. #14526740 | C2 | semidirect |
| 7. C17×#2240 | C2 | semidirect |
| 117. #2240 | D17 | semidirect |
| 192. C17 | #12343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541206 | 2 |
| #14530816 | 2 |
| #14528136 | 2 |
| #14526842 | 2 |
| #14526746 | 2 |
| #14526740 | 2 |
| C17×#2240 | 2 |
| #12343 | 17 |