Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
132 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 3. #11762634 | C2 | semidirect |
| 4. #11762614 | C2 | semidirect |
| 5. #11762612 | C2 | semidirect |
| 7. C17×#367 | C2 | semidirect |
| 64. #367 | D17 | semidirect |
| 84. C17 | #2237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763051 | 2 |
| #11762846 | 2 |
| #11762634 | 2 |
| #11762614 | 2 |
| #11762612 | 2 |
| #11762588 | 2 |
| C17×#367 | 2 |
| #2237 | 17 |