Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
201 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 201 conjugacy classes of subgroups — too many to draw. Only its 62 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. #10588800 | C2 | semidirect |
| 3. C9×#349 | C2 | semidirect |
| 4. #10588193 | C2 | semidirect |
| 5. #10588190 | C2 | semidirect |
| 61. #349 | D9 | semidirect |
| 134. C9 | #2238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588817 | 2 |
| #10588800 | 2 |
| C9×#349 | 2 |
| #10588193 | 2 |
| #10588190 | 2 |
| #69116 | 3 |