Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
267 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 267 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 4. C9×#322 | C2 | semidirect |
| 5. #10588132 | C2 | semidirect |
| 6. #10588131 | C2 | semidirect |
| 7. C8×C9⋊C8 | C2 | semidirect |
| 77. #322 | D9 | semidirect |
| 158. C9 | #1454 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588367 | 2 |
| C9×#322 | 2 |
| #10588132 | 2 |
| #10588131 | 2 |
| C8×C9⋊C8 | 2 |
| #68074 | 3 |