Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 3. #11763118 | C2 | semidirect |
| 4. #11763114 | C2 | semidirect |
| 5. #11763102 | C2 | semidirect |
| 6. #11763092 | C2 | semidirect |
| 45. C2×Q8×C17 | Q8 | semidirect |
| 172. C17 | #3078 | semidirect |
| 177. C2×Q8 | Dic34 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763362 | 2 |
| C2×Q8×Dic17 | 2 |
| #11763118 | 2 |
| #11763114 | 2 |
| #11763102 | 2 |
| #11763092 | 2 |
| #11762852 | 2 |
| #11762851 | 2 |
| #11762832 | 2 |
| #11762818 | 2 |
| C17×#419 | 2 |
| #3078 | 17 |