Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11763213 | C2 | semidirect |
| 4. #11763158 | C2 | semidirect |
| 8. #11763103 | C2 | semidirect |
| 9. #11763102 | C2 | semidirect |
| 167. C17 | #3230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763361 | 2 |
| C2×#10587574 | 2 |
| #11763213 | 2 |
| #11763158 | 2 |
| #11763145 | 2 |
| #11763144 | 2 |
| #11763142 | 2 |
| #11763103 | 2 |
| #11763102 | 2 |
| #11762859 | 2 |
| C17×#484 | 2 |
| #3230 | 17 |