Finite Group DatabasebetaFinite Group DatabasebetaOrder 2592.
258 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 71 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. C42×C9⋊C9 | C2 | semidirect |
| 3. #3667⋊C9 | C2 | semidirect |
| 9. C4⋊(D9⋊C9) | C4 | semidirect |
| 11. Dic18⋊C9 | C4 | semidirect |
| 28. #63364 | C9 | semidirect |
| 57. C42×C9 | C2×C9 | semidirect |
| 58. #3667 | C2×C9 | semidirect |
| 77. C9⋊C9 | #104 | semidirect |
| 98. D36 | C4×C9 | semidirect |
| 100. Dic18 | C4×C9 | semidirect |
| 179. C42 | D9⋊C9 | semidirect |
| 200. C9 | C9×#104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #3697⋊C9 | 2 |
| C42×C9⋊C9 | 2 |
| #3667⋊C9 | 2 |
| C9×#805 | 3 |
| C3×#63364 | 3 |