Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
942 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 942 conjugacy classes of subgroups — too many to draw. Only its 155 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. #14543184 | C2 | semidirect |
| 2. #14539775 | C2 | semidirect |
| 3. #14528105 | C2 | semidirect |
| 4. #14528076 | C2 | semidirect |
| 5. #14527422 | C2 | semidirect |
| 6. #14527394 | C2 | semidirect |
| 7. C17×#3135 | C2 | semidirect |
| 145. #3135 | D17 | semidirect |
| 235. C17 | #19061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543184 | 2 |
| #14539775 | 2 |
| #14528105 | 2 |
| #14528076 | 2 |
| #14527422 | 2 |
| #14527394 | 2 |
| C17×#3135 | 2 |
| #19061 | 17 |