Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
152 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. #11763210 | C2 | semidirect |
| 3. #11762611 | C2 | semidirect |
| 4. #11762610 | C2 | semidirect |
| 5. #11762609 | C2 | semidirect |
| 6. #11762584 | C2 | semidirect |
| 7. C17×#357 | C2 | semidirect |
| 72. #357 | D17 | semidirect |
| 90. C17 | #2244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763210 | 2 |
| #11763184 | 2 |
| #11762611 | 2 |
| #11762610 | 2 |
| #11762609 | 2 |
| #11762584 | 2 |
| C17×#357 | 2 |
| #2244 | 17 |