Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
435 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 435 conjugacy classes of subgroups — too many to draw. Only its 120 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. C2×C9×#107 | C2 | semidirect |
| 4. #10588655 | C2 | semidirect |
| 6. C2×#63366 | C2 | semidirect |
| 7. #10588228 | C2 | semidirect |
| 99. C2×#107 | D9 | semidirect |
| 243. C9 | #2093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×#107 | 2 |
| C2×#63380 | 2 |
| #10588668 | 2 |
| #10588655 | 2 |
| C2×#63369 | 2 |
| C2×#63366 | 2 |
| #10588228 | 2 |
| #70641 | 3 |