Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
286 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#10587505 | C2 | semidirect |
| 3. #11762603 | C2 | semidirect |
| 4. #11762601 | C2 | semidirect |
| 5. C2×C17×#99 | C2 | semidirect |
| 7. C2×#63252 | C4 | semidirect |
| 12. #10587626 | C4 | semidirect |
| 16. #10587622 | C4 | semidirect |
| 18. #10587612 | C4 | semidirect |
| 41. C2×D68 | C2×C4 | semidirect |
| 43. C2×Dic34 | C2×C4 | semidirect |
| 54. C4×Dic17 | C2×C4 | semidirect |
| 55. C4×Dic17 | C2×C4 | semidirect |
| 121. C2×#99 | D17 | semidirect |
| 150. C17 | #2127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763376 | 2 |
| C2×#10587505 | 2 |
| #11762603 | 2 |
| #11762601 | 2 |
| C2×C17×#99 | 2 |
| #2127 | 17 |