Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
278 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 69 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. #11762851 | C2 | semidirect |
| 4. C2×#10587495 | C2 | semidirect |
| 5. #11762715 | C2 | semidirect |
| 6. #11762569 | C2 | semidirect |
| 147. C17 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763380 | 2 |
| #11762851 | 2 |
| #11762810 | 2 |
| C2×#10587495 | 2 |
| #11762715 | 2 |
| #11762569 | 2 |
| C2×C17×#104 | 2 |
| #2038 | 17 |