Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
946 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 946 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14540162 | C2 | semidirect |
| 2. #14539109 | C2 | semidirect |
| 3. #14527935 | C2 | semidirect |
| 4. #14527873 | C2 | semidirect |
| 5. #14527522 | C2 | semidirect |
| 6. #14527235 | C2 | semidirect |
| 7. C17×#3548 | C2 | semidirect |
| 149. #3548 | D17 | semidirect |
| 242. C17 | #18696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540162 | 2 |
| #14539109 | 2 |
| #14527935 | 2 |
| #14527873 | 2 |
| #14527522 | 2 |
| #14527235 | 2 |
| C17×#3548 | 2 |
| #18696 | 17 |