Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
411 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 411 conjugacy classes of subgroups — too many to draw. Only its 124 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. #10588615 | C2 | semidirect |
| 4. C9×#336 | C2 | semidirect |
| 5. #10588229 | C2 | semidirect |
| 85. #336 | D9 | semidirect |
| 213. C9 | #2071 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63380 | 2 |
| #10588619 | 2 |
| #10588615 | 2 |
| C9×#336 | 2 |
| #10588229 | 2 |
| #68635 | 3 |