Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
252 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 100 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. #10588701 | C2 | semidirect |
| 4. #10588212 | C2 | semidirect |
| 6. #10588135 | C2 | semidirect |
| 7. #10588131 | C2 | semidirect |
| 191. C9 | #1585 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C9×SD16 | 2 |
| #10588701 | 2 |
| D4×C9⋊C8 | 2 |
| #10588212 | 2 |
| D4⋊(C9⋊C8) | 2 |
| #10588135 | 2 |
| #10588131 | 2 |
| #70897 | 3 |