Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
429 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 429 conjugacy classes of subgroups — too many to draw. Only its 88 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×C9×#99 | C2 | semidirect |
| 3. C2×#63393 | C2 | semidirect |
| 4. #10588151 | C2 | semidirect |
| 5. #10588149 | C2 | semidirect |
| 8. C2×#3697 | C4 | semidirect |
| 13. #63502 | C4 | semidirect |
| 17. #63498 | C4 | semidirect |
| 19. #63488 | C4 | semidirect |
| 47. C2×D36 | C2×C4 | semidirect |
| 49. C2×Dic18 | C2×C4 | semidirect |
| 60. C4×Dic9 | C2×C4 | semidirect |
| 61. C4×Dic9 | C2×C4 | semidirect |
| 118. C2×#99 | D9 | semidirect |
| 301. C9 | #2127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589907 | 2 |
| C2×C9×#99 | 2 |
| C2×#63393 | 2 |
| #10588151 | 2 |
| #10588149 | 2 |
| #70019 | 3 |