Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
213 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 213 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 3. #10588864 | C2 | semidirect |
| 5. #10588242 | C2 | semidirect |
| 6. #10588190 | C2 | semidirect |
| 7. #10588189 | C2 | semidirect |
| 13. C9×Q32 | C4 | semidirect |
| 14. C9×SD32 | C4 | semidirect |
| 112. Q32 | Dic9 | semidirect |
| 113. SD32 | Dic9 | semidirect |
| 164. C9 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#510 | 2 |
| #10588877 | 2 |
| #10588864 | 2 |
| #10588243 | 2 |
| #10588242 | 2 |
| #10588190 | 2 |
| #10588189 | 2 |
| #71521 | 3 |