Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
186 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 54 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. C9×#365 | C2 | semidirect |
| 4. #10588195 | C2 | semidirect |
| 6. #10588174 | C2 | semidirect |
| 7. #10588164 | C2 | semidirect |
| 73. #365 | D9 | semidirect |
| 155. C9 | #2239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588573 | 2 |
| #10588547 | 2 |
| C9×#365 | 2 |
| #10588195 | 2 |
| #10588191 | 2 |
| #10588174 | 2 |
| #10588164 | 2 |
| #69314 | 3 |