Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14529735 | C2 | semidirect |
| 4. #14527509 | C2 | semidirect |
| 6. #14526639 | C2 | semidirect |
| 7. C17×#1290 | C2 | semidirect |
| 10. #11763218 | C4 | semidirect |
| 11. #11763169 | C4 | semidirect |
| 168. #1290 | D17 | semidirect |
| 268. C17 | #9375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540007 | 2 |
| #14537920 | 2 |
| #14529735 | 2 |
| #14527509 | 2 |
| #14527310 | 2 |
| #14526639 | 2 |
| C17×#1290 | 2 |
| #9375 | 17 |