Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
362 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11763119 | C2 | semidirect |
| 4. #11763115 | C2 | semidirect |
| 5. #11763103 | C2 | semidirect |
| 6. #11763093 | C2 | semidirect |
| 47. C2×Dic34 | Q8 | semidirect |
| 157. C17 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763437 | 2 |
| #11763286 | 2 |
| #11763119 | 2 |
| #11763115 | 2 |
| #11763103 | 2 |
| #11763093 | 2 |
| #11762852 | 2 |
| #11762835 | 2 |
| #11762817 | 2 |
| C2×#10587487 | 2 |
| C17×#427 | 2 |
| #3082 | 17 |