Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
252 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 94 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×#335 | C2 | semidirect |
| 4. #10588157 | C2 | semidirect |
| 5. #10588135 | C2 | semidirect |
| 71. #335 | D9 | semidirect |
| 160. C9 | #1568 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588519 | 2 |
| C4×C8×D9 | 2 |
| C9×#335 | 2 |
| #10588157 | 2 |
| #10588135 | 2 |
| #68570 | 3 |