Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
212 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 4. #11762551 | C2 | semidirect |
| 5. #11762550 | C2 | semidirect |
| 6. #11762550 | C2 | semidirect |
| 7. C17×#330 | C2 | semidirect |
| 96. #330 | D17 | semidirect |
| 120. C17 | #1531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763365 | 2 |
| #11762864 | 2 |
| #97×D17 | 2 |
| #11762551 | 2 |
| #11762550 | 2 |
| C17×#330 | 2 |
| #1531 | 17 |