Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #11763206 | C2 | semidirect |
| 3. #11763187 | C2 | semidirect |
| 4. #11763158 | C2 | semidirect |
| 8. #11762917 | C2 | semidirect |
| 9. #11762914 | C2 | semidirect |
| 11. C17×#441 | C2 | semidirect |
| 112. #441 | D17 | semidirect |
| 144. C17 | #3185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763363 | 2 |
| #11763206 | 2 |
| #11763187 | 2 |
| #11763158 | 2 |
| #11763068 | 2 |
| #11763066 | 2 |
| #11763064 | 2 |
| #11762917 | 2 |
| #11762914 | 2 |
| #11762761 | 2 |
| C17×#441 | 2 |
| #3185 | 17 |