Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11763113 | C2 | semidirect |
| 3. #11763106 | C2 | semidirect |
| 4. #11763096 | C2 | semidirect |
| 5. #11763091 | C2 | semidirect |
| 6. #11762852 | C2 | semidirect |
| 7. C2×#10587479 | C2 | semidirect |
| 8. #11762836 | C2 | semidirect |
| 11. C17×#544 | C2 | semidirect |
| 47. #63252 | Q8 | semidirect |
| 119. #544 | D17 | semidirect |
| 164. C17 | #3084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763289 | 2 |
| #11763113 | 2 |
| #11763106 | 2 |
| #11763096 | 2 |
| #11763091 | 2 |
| #11762852 | 2 |
| C2×#10587479 | 2 |
| #11762836 | 2 |
| #11762808 | 2 |
| #11762803 | 2 |
| C17×#544 | 2 |
| #3084 | 17 |