Finite Group DatabasebetaFinite Group DatabasebetaOrder 2752.
124 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 39 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×#10621884 | C2 | semidirect |
| 3. #13063314 | C2 | semidirect |
| 4. #13063287 | C2 | semidirect |
| 5. Dic43⋊C8 | C2 | semidirect |
| 6. #13063245 | C2 | semidirect |
| 7. #103×C43 | C2 | semidirect |
| 56. C43 | #463 | semidirect |
| 62. #103 | D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10621884 | 2 |
| C2×D344 | 2 |
| #13063314 | 2 |
| #13063287 | 2 |
| Dic43⋊C8 | 2 |
| #13063245 | 2 |
| #103×C43 | 2 |
| #463 | 43 |