Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
558 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14537502 | C2 | semidirect |
| 3. #14529607 | C2 | semidirect |
| 4. #14527451 | C2 | semidirect |
| 5. #14526642 | C2 | semidirect |
| 6. #14526614 | C2 | semidirect |
| 7. C17×#1517 | C2 | semidirect |
| 10. #11763185 | C4 | semidirect |
| 11. #11763157 | C4 | semidirect |
| 118. C2×#3622 | D8 | semidirect |
| 170. #1517 | D17 | semidirect |
| 263. C17 | #9293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539699 | 2 |
| #14537502 | 2 |
| #14529607 | 2 |
| #14527451 | 2 |
| #14526642 | 2 |
| #14526614 | 2 |
| C17×#1517 | 2 |
| #9293 | 17 |