Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
162 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 53 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. #11763019 | C2 | semidirect |
| 4. #11762560 | C2 | semidirect |
| 5. #11762554 | C2 | semidirect |
| 7. C17×#446 | C2 | semidirect |
| 78. #446 | D17 | semidirect |
| 101. C17 | #1702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763156 | 2 |
| #11763019 | 2 |
| #11763009 | 2 |
| #11762560 | 2 |
| #11762554 | 2 |
| #11762552 | 2 |
| C17×#446 | 2 |
| #1702 | 17 |