Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
534 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 202 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. #10588760 | C2 | semidirect |
| 4. #10588758 | C2 | semidirect |
| 5. #10588744 | C2 | semidirect |
| 50. C2×C9⋊C8 | Q8 | semidirect |
| 182. C9 | #3160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#533 | 2 |
| #10589572 | 2 |
| #10588760 | 2 |
| #10588758 | 2 |
| #10588744 | 2 |
| #10588676 | 2 |
| C2×C4×C9⋊C8 | 2 |
| #83339 | 3 |