Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
126 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 43 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. #11763206 | C2 | semidirect |
| 3. #11762633 | C2 | semidirect |
| 4. #11762629 | C2 | semidirect |
| 7. C17×#365 | C2 | semidirect |
| 28. Dic68 | Q8 | semidirect |
| 29. D136 | Q8 | semidirect |
| 61. #365 | D17 | semidirect |
| 79. C17 | #2230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763206 | 2 |
| #11762925 | 2 |
| #11762633 | 2 |
| #11762629 | 2 |
| #11762620 | 2 |
| #11762618 | 2 |
| C17×#365 | 2 |
| #2230 | 17 |