Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1110 conjugacy classes of subgroups; only the 246 normal subgroups are shown.
This group has 1110 conjugacy classes of subgroups — too many to draw. Only its 246 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×#63455 | C2 | semidirect |
| 3. C9×#382 | C2 | semidirect |
| 4. #10588668 | C2 | semidirect |
| 5. #10588612 | C2 | semidirect |
| 6. #10588345 | C2 | semidirect |
| 18. #63436 | C4 | semidirect |
| 36. C2×D36 | C2×C4 | semidirect |
| 37. C2×D36 | C2×C4 | semidirect |
| 41. C42×C9 | C2×C4 | semidirect |
| 45. C4×Dic9 | D4 | semidirect |
| 84. #382 | D9 | semidirect |
| 175. C42 | C4×D9 | semidirect |
| 190. C9 | #2328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63455 | 2 |
| C2×#63436 | 2 |
| C9×#382 | 2 |
| #10588668 | 2 |
| #10588612 | 2 |
| #10588345 | 2 |
| #74153 | 3 |