Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
264 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11762836 | C2 | semidirect |
| 3. #11762805 | C2 | semidirect |
| 4. #11762803 | C2 | semidirect |
| 5. #11762782 | C2 | semidirect |
| 6. #11762565 | C2 | semidirect |
| 7. C17×#410 | C2 | semidirect |
| 118. #410 | D17 | semidirect |
| 145. C17 | #2053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763607 | 2 |
| #11762836 | 2 |
| #11762805 | 2 |
| #11762803 | 2 |
| #11762782 | 2 |
| #11762565 | 2 |
| C17×#410 | 2 |
| #2053 | 17 |