Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1032 conjugacy classes of subgroups; only the 214 normal subgroups are shown.
This group has 1032 conjugacy classes of subgroups — too many to draw. Only its 214 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. C9×#379 | C2 | semidirect |
| 3. #10588927 | C2 | semidirect |
| 4. #10588637 | C2 | semidirect |
| 5. #10588636 | C2 | semidirect |
| 6. #10588625 | C2 | semidirect |
| 7. #10588624 | C2 | semidirect |
| 11. C22×C4×D9 | C22 | semidirect |
| 14. #63515 | C4 | semidirect |
| 18. C2×(C2×D9)⋊C4 | C22 | semidirect |
| 19. C2×Dic9⋊C4 | C22 | semidirect |
| 20. C2×C4×Dic9 | C22 | semidirect |
| 21. C9⋊#95 | C22 | semidirect |
| 22. C9⋊#95 | C22 | semidirect |
| 32. C24×C9 | C2×C4 | semidirect |
| 48. #3676 | C2×C4 | semidirect |
| 100. #379 | D9 | semidirect |
| 191. C24 | C4×D9 | semidirect |
| 229. C9 | #2375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63515 | 2 |
| C9×#379 | 2 |
| #10588927 | 2 |
| #10588637 | 2 |
| #10588636 | 2 |
| #10588625 | 2 |
| #10588624 | 2 |
| #73851 | 3 |