Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
504 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 142 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. C2×#63367 | C2 | semidirect |
| 4. C9×#340 | C2 | semidirect |
| 5. #10588229 | C2 | semidirect |
| 14. C2×C8×D9 | C4 | semidirect |
| 74. C9⋊C8 | C22⋊C4 | semidirect |
| 79. #340 | D9 | semidirect |
| 108. C2×D9 | #106 | semidirect |
| 189. C9 | #1807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D9 | 2 |
| #10588667 | 2 |
| C2×#63367 | 2 |
| C9×#340 | 2 |
| #10588229 | 2 |
| #68868 | 3 |