Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
972 conjugacy classes of subgroups; only the 294 normal subgroups are shown.
This group has 972 conjugacy classes of subgroups — too many to draw. Only its 294 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. #10588900 | C2 | semidirect |
| 3. #10588617 | C2 | semidirect |
| 7. C9×#127 | C4 | semidirect |
| 17. C2×D4×C9 | C2×C4 | semidirect |
| 21. C42×C9 | C2×C4 | semidirect |
| 60. #127 | Dic9 | semidirect |
| 79. C2×D4 | C2×Dic9 | semidirect |
| 84. C42 | C2×Dic9 | semidirect |
| 92. C9 | #2380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×#127 | 2 |
| #10588900 | 2 |
| #10588617 | 2 |
| #83174 | 3 |