Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
420 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 420 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. C2×C9×C22⋊C8 | C2 | semidirect |
| 3. #10588887 | C2 | semidirect |
| 4. #10588146 | C2 | semidirect |
| 5. #10588145 | C2 | semidirect |
| 108. C2×C22⋊C8 | D9 | semidirect |
| 267. C9 | #1468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63491 | 2 |
| C2×C9×C22⋊C8 | 2 |
| #10588887 | 2 |
| #10588146 | 2 |
| #10588145 | 2 |
| #69920 | 3 |