Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
410 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 410 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 |
|---|---|---|
| 1. #11763360 | C2 | semidirect |
| 2. #11763344 | C2 | semidirect |
| 3. #11763198 | C2 | semidirect |
| 4. #11763175 | C2 | semidirect |
| 5. #11763171 | C2 | semidirect |
| 6. #11763046 | C2 | semidirect |
| 7. #11763039 | C2 | semidirect |
| 8. #11762920 | C2 | semidirect |
| 9. #11762908 | C2 | semidirect |
| 10. #97×D17 | C2 | semidirect |
| 11. C17×#501 | C2 | semidirect |
| 109. C8×C17 | #41 | semidirect |
| 134. #501 | D17 | semidirect |
| 180. C17 | #3180 | semidirect |
| 248. C8 | #63256 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763360 | 2 |
| #11763344 | 2 |
| #11763198 | 2 |
| #11763175 | 2 |
| #11763171 | 2 |
| #11763046 | 2 |
| #11763039 | 2 |
| #11762920 | 2 |
| #11762908 | 2 |
| #97×D17 | 2 |
| C17×#501 | 2 |
| #3180 | 17 |