Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
330 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 89 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. #22560362 | C2 | semidirect |
| 4. #22558106 | C2 | semidirect |
| 5. #22558105 | C2 | semidirect |
| 6. #22558037 | C2 | semidirect |
| 162. C67 | #10627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22561042 | 2 |
| #22560362 | 2 |
| #22558858 | 2 |
| #22558106 | 2 |
| #22558105 | 2 |
| #22558037 | 2 |
| C67×#1540 | 2 |
| #10627 | 67 |