Finite Group DatabasebetaFinite Group DatabasebetaOrder 2752.
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 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 |
|---|---|---|
| 2. C4⋊C4×D43 | C2 | semidirect |
| 3. #13063256 | C2 | semidirect |
| 4. #13063247 | C2 | semidirect |
| 5. #13063245 | C2 | semidirect |
| 6. (C2×D43)⋊C8 | C2 | semidirect |
| 7. #106×C43 | C2 | semidirect |
| 53. C43 | #481 | semidirect |
| 57. #106 | D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13063300 | 2 |
| C4⋊C4×D43 | 2 |
| #13063256 | 2 |
| #13063247 | 2 |
| #13063245 | 2 |
| (C2×D43)⋊C8 | 2 |
| #106×C43 | 2 |
| #481 | 43 |