Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 318 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 318 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 |
|---|---|---|
| 11. C4×C8×C9 | C4 | semidirect |
| 12. #63375 | C4 | direct (N × H) |
| 13. C4×C9⋊C8 | C4 | semidirect |
| 46. C8×C9 | C42 | semidirect |
| 47. C9⋊C8 | C42 | semidirect |
| 66. C4×C9 | #97 | semidirect |
| 77. C4×C8 | Dic9 | semidirect |
| 109. C9 | C4×#97 | semidirect |
| 119. C8 | C4×Dic9 | semidirect |
| 127. C4 | #63375 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C8×C9 | 2 |
| C2×#63375 | 2 |
| C42×Dic9 | 2 |
| C2×C4×C9⋊C8 | 2 |
| C4×#815 | 3 |