Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
381 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 381 conjugacy classes of subgroups — too many to draw. Only its 68 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. C9×#480 | C2 | semidirect |
| 3. #10588663 | C2 | semidirect |
| 4. #10588650 | C2 | semidirect |
| 5. #10588214 | C2 | semidirect |
| 6. #10588147 | C2 | semidirect |
| 7. #10588145 | C2 | semidirect |
| 119. #480 | D9 | semidirect |
| 280. C9 | #1610 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589699 | 2 |
| C9×#480 | 2 |
| #10588663 | 2 |
| #10588650 | 2 |
| #10588214 | 2 |
| #10588147 | 2 |
| #10588145 | 2 |
| #71167 | 3 |