Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
324 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 66 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×#470 | C2 | semidirect |
| 3. #10588859 | C2 | semidirect |
| 4. #10588230 | C2 | semidirect |
| 5. #10588165 | C2 | semidirect |
| 8. C2×C9×Q16 | C22 | semidirect |
| 15. C9×#106 | C22 | semidirect |
| 19. #63371 | C22 | semidirect |
| 86. #470 | D9 | semidirect |
| 129. C2×Q16 | C2×D9 | semidirect |
| 135. #106 | C2×D9 | semidirect |
| 197. C9 | #2191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589850 | 2 |
| C9×#470 | 2 |
| #10588859 | 2 |
| #10588230 | 2 |
| #10588165 | 2 |
| #71091 | 3 |