Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
345 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 345 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 2. C9×#432 | C2 | semidirect |
| 3. C2×C4×C9⋊C8 | C2 | semidirect |
| 4. #10588162 | C2 | semidirect |
| 5. #10588160 | C2 | semidirect |
| 94. #432 | D9 | semidirect |
| 224. C9 | #1494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589581 | 2 |
| C9×#432 | 2 |
| C2×C4×C9⋊C8 | 2 |
| #10588162 | 2 |
| #10588160 | 2 |
| #70800 | 3 |