Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
204 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 70 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. #10588363 | C2 | semidirect |
| 3. C9×C4⋊C16 | C2 | semidirect |
| 6. #10588182 | C2 | semidirect |
| 7. #10588181 | C2 | semidirect |
| 71. C4⋊C16 | D9 | semidirect |
| 154. C9 | #2228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D72 | 2 |
| #10588363 | 2 |
| C9×C4⋊C16 | 2 |
| #10588186 | 2 |
| #10588182 | 2 |
| #10588181 | 2 |
| #69291 | 3 |