Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
522 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 1. #10589918 | C2 | semidirect |
| 2. C2×#63505 | C2 | semidirect |
| 4. C9×#419 | C2 | semidirect |
| 5. #10588686 | C2 | semidirect |
| 6. #10588685 | C2 | semidirect |
| 7. #10588236 | C2 | semidirect |
| 149. #419 | D9 | semidirect |
| 341. C9 | #2009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589918 | 2 |
| C2×#63505 | 2 |
| #10589850 | 2 |
| C9×#419 | 2 |
| #10588686 | 2 |
| #10588685 | 2 |
| #10588236 | 2 |
| #70351 | 3 |