Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
426 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 124 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. C4×C9×C4⋊C4 | C2 | semidirect |
| 3. #10588605 | C2 | semidirect |
| 4. #10588129 | C2 | semidirect |
| 13. #63436 | C4 | semidirect |
| 15. C4×D36 | C4 | semidirect |
| 16. #63431 | C4 | semidirect |
| 90. C4×C4⋊C4 | D9 | semidirect |
| 215. C9 | #1502 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589579 | 2 |
| C4×C9×C4⋊C4 | 2 |
| #10588605 | 2 |
| #10588129 | 2 |
| #69469 | 3 |