Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
384 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 74 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×#476 | C2 | semidirect |
| 3. #10588770 | C2 | semidirect |
| 4. #10588764 | C2 | semidirect |
| 5. D4⋊(C9⋊C8) | C2 | semidirect |
| 6. #10588163 | C2 | semidirect |
| 7. #10588160 | C2 | semidirect |
| 99. Dic18 | SD16 | semidirect |
| 106. #476 | D9 | semidirect |
| 241. C9 | #1631 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589655 | 2 |
| C9×#476 | 2 |
| #10588770 | 2 |
| #10588764 | 2 |
| D4⋊(C9⋊C8) | 2 |
| #10588163 | 2 |
| #10588160 | 2 |
| #71141 | 3 |