Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
240 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 144 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. #10588143 | C2 | semidirect |
| 10. #63371 | C4 | semidirect |
| 12. C2×C9⋊C16 | C4 | semidirect |
| 106. C9 | #2110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#405 | 2 |
| C2×#63371 | 2 |
| #10588143 | 2 |
| #69884 | 3 |