Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
501 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 501 conjugacy classes of subgroups — too many to draw. Only its 106 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×#95 | C2 | semidirect |
| 3. #10588887 | C2 | semidirect |
| 4. #10588129 | C2 | semidirect |
| 5. #10588128 | C2 | semidirect |
| 9. C2×#3697 | C4 | semidirect |
| 11. #63492 | C4 | semidirect |
| 16. #63488 | C4 | semidirect |
| 17. #63486 | C4 | semidirect |
| 45. C2×D36 | C2×C4 | semidirect |
| 47. C2×Dic18 | C2×C4 | semidirect |
| 53. C4⋊Dic9 | C2×C4 | semidirect |
| 54. C4⋊Dic9 | C2×C4 | semidirect |
| 113. C2×#95 | D9 | semidirect |
| 284. C9 | #1504 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589893 | 2 |
| C2×C9×#95 | 2 |
| #10588887 | 2 |
| #10588129 | 2 |
| #10588128 | 2 |
| #69398 | 3 |