Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
436 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 6. C22×Dic268 | C4 | semidirect |
| 13. #16863434 | C4 | semidirect |
| 14. #16863406 | C4 | semidirect |
| 166. C67 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22569864 | 2 |
| #22561883 | 2 |
| #22561864 | 2 |
| #22560255 | 2 |
| C67×#1757 | 2 |
| #13230 | 67 |