Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 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 |
|---|---|---|
| 3. #11762917 | C2 | semidirect |
| 4. #11762632 | C2 | semidirect |
| 5. #11762626 | C2 | semidirect |
| 7. C17×#347 | C2 | semidirect |
| 19. Dic136 | C4 | semidirect |
| 20. #10587471 | C4 | semidirect |
| 68. #347 | D17 | semidirect |
| 85. C17 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763252 | 2 |
| #11762932 | 2 |
| #11762917 | 2 |
| #11762632 | 2 |
| #11762626 | 2 |
| #11762620 | 2 |
| C17×#347 | 2 |
| #2180 | 17 |