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 |
|---|---|---|
| 2. C2×#63511 | C2 | semidirect |
| 3. #10589628 | C2 | semidirect |
| 4. C9×#410 | C2 | semidirect |
| 5. #10588685 | C2 | semidirect |
| 6. #10588681 | C2 | semidirect |
| 7. #10588209 | C2 | semidirect |
| 150. #410 | 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 |
|---|---|
| #10589925 | 2 |
| C2×#63511 | 2 |
| #10589628 | 2 |
| C9×#410 | 2 |
| #10588685 | 2 |
| #10588681 | 2 |
| #10588209 | 2 |
| #70053 | 3 |