Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
126 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 126 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 |
|---|---|---|
| 2. #11762631 | C2 | semidirect |
| 3. #11762630 | C2 | semidirect |
| 5. C17×#498 | C2 | semidirect |
| 23. Dic68 | Q8 | semidirect |
| 24. D136 | Q8 | semidirect |
| 50. #498 | D17 | semidirect |
| 67. C17 | #2230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762927 | 2 |
| #11762631 | 2 |
| #11762630 | 2 |
| #11762618 | 2 |
| C17×#498 | 2 |
| #2230 | 17 |