Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
350 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11763626 | C2 | semidirect |
| 2. #11763252 | C2 | semidirect |
| 3. #11763241 | C2 | semidirect |
| 4. C2×Dic136 | C2 | semidirect |
| 5. C17×#504 | C2 | semidirect |
| 51. #504 | D17 | semidirect |
| 66. C17 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763626 | 2 |
| #11763252 | 2 |
| #11763241 | 2 |
| C2×Dic136 | 2 |
| C17×#504 | 2 |
| #3417 | 17 |