Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
291 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 291 conjugacy classes of subgroups — too many to draw. Only its 72 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×#477 | C2 | semidirect |
| 4. #10588759 | C2 | semidirect |
| 5. #10588212 | C2 | semidirect |
| 7. #10588161 | C2 | semidirect |
| 96. #477 | D9 | semidirect |
| 215. C9 | #1638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589686 | 2 |
| C9×#477 | 2 |
| #10588769 | 2 |
| #10588759 | 2 |
| #10588212 | 2 |
| #10588162 | 2 |
| #10588161 | 2 |
| #71157 | 3 |