Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
252 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 92 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×#334 | C2 | semidirect |
| 5. #10588157 | C2 | semidirect |
| 6. #10588157 | C2 | semidirect |
| 7. #10588134 | C2 | semidirect |
| 90. #334 | D9 | semidirect |
| 188. C9 | #1570 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588521 | 2 |
| D9×C4⋊C8 | 2 |
| #10588367 | 2 |
| C9×#334 | 2 |
| #10588157 | 2 |
| #10588134 | 2 |
| #68532 | 3 |