Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 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 |
|---|---|---|
| 1. #11763160 | C2 | semidirect |
| 4. #11762562 | C2 | semidirect |
| 5. #11762556 | C2 | semidirect |
| 6. #11762554 | C2 | semidirect |
| 100. C17 | #1699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763160 | 2 |
| #11763089 | 2 |
| #11763014 | 2 |
| #11762562 | 2 |
| #11762556 | 2 |
| #11762554 | 2 |
| C17×#436 | 2 |
| #1699 | 17 |