Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
393 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 393 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. C9×#413 | C2 | semidirect |
| 3. #10588915 | C2 | semidirect |
| 4. #10588155 | C2 | semidirect |
| 17. C9×#101 | C22 | semidirect |
| 19. #63394 | C22 | semidirect |
| 98. #413 | D9 | semidirect |
| 156. #101 | C2×D9 | semidirect |
| 237. C9 | #2134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589932 | 2 |
| C9×#413 | 2 |
| #10588915 | 2 |
| #10588155 | 2 |
| #70149 | 3 |