Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10587636 | C2 | semidirect |
| 2. C2×#10587634 | C2 | semidirect |
| 3. #11763387 | C2 | semidirect |
| 4. #11763057 | C2 | semidirect |
| 5. #11763053 | C2 | semidirect |
| 6. #11763048 | C2 | semidirect |
| 7. #11763043 | C2 | semidirect |
| 8. C2×#10587478 | C2 | semidirect |
| 9. #11762810 | C2 | semidirect |
| 10. #11762808 | C2 | semidirect |
| 11. C17×#537 | C2 | semidirect |
| 83. C2×#3622 | D4 | semidirect |
| 149. #537 | D17 | semidirect |
| 195. C17 | #3061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587636 | 2 |
| C2×#10587634 | 2 |
| #11763387 | 2 |
| #11763057 | 2 |
| #11763053 | 2 |
| #11763048 | 2 |
| #11763043 | 2 |
| C2×#10587478 | 2 |
| #11762810 | 2 |
| #11762808 | 2 |
| C17×#537 | 2 |
| #3061 | 17 |