Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
537 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 537 conjugacy classes of subgroups — too many to draw. Only its 110 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×#63434 | C2 | semidirect |
| 3. C2×C9×#104 | C2 | semidirect |
| 4. C2×#63396 | C2 | semidirect |
| 5. #10588808 | C2 | semidirect |
| 6. #10588235 | C2 | semidirect |
| 7. #10588201 | C2 | semidirect |
| 13. #63508 | C4 | semidirect |
| 14. #63500 | C4 | semidirect |
| 59. C42×C9 | D4 | semidirect |
| 69. C4×Dic9 | D4 | semidirect |
| 132. C2×#104 | D9 | semidirect |
| 292. C42 | #611 | semidirect |
| 313. C9 | #1897 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589930 | 2 |
| C2×#63434 | 2 |
| C2×C9×#104 | 2 |
| C2×#63396 | 2 |
| #10588808 | 2 |
| #10588235 | 2 |
| #10588201 | 2 |
| #70383 | 3 |