Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
459 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 459 conjugacy classes of subgroups — too many to draw. Only its 100 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. #10588916 | C2 | semidirect |
| 3. C2×#63396 | C2 | semidirect |
| 4. #10588655 | C2 | semidirect |
| 5. #10588207 | C2 | semidirect |
| 43. C4×Dic9 | D4 | semidirect |
| 205. C9 | #2039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#537 | 2 |
| #10588916 | 2 |
| C2×#63396 | 2 |
| #10588655 | 2 |
| #10588207 | 2 |
| #71876 | 3 |