Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
489 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 489 conjugacy classes of subgroups — too many to draw. Only its 100 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×#381 | C2 | semidirect |
| 3. #10588887 | C2 | semidirect |
| 4. #10588129 | C2 | semidirect |
| 8. C22×D36 | C4 | semidirect |
| 12. #63492 | C4 | semidirect |
| 15. C2×C4⋊Dic9 | C4 | semidirect |
| 18. C9×#95 | C22 | semidirect |
| 20. #63389 | C22 | semidirect |
| 97. #381 | D9 | semidirect |
| 158. #95 | C2×D9 | semidirect |
| 241. C9 | #1510 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63492 | 2 |
| C9×#381 | 2 |
| #10588887 | 2 |
| #10588129 | 2 |
| #69531 | 3 |