Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1062 conjugacy classes of subgroups; only the 190 normal subgroups are shown.
This group has 1062 conjugacy classes of subgroups — too many to draw. Only its 190 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×#63506 | C2 | semidirect |
| 3. C2×#63471 | C2 | semidirect |
| 4. C2×C9×#101 | C2 | semidirect |
| 5. C2×#63384 | C2 | semidirect |
| 6. #10588432 | C2 | direct (N × H) |
| 19. #63506 | C22 | semidirect |
| 23. #63471 | C22 | semidirect |
| 26. C9×#101 | C22 | semidirect |
| 27. #63384 | C22 | semidirect |
| 128. C2×#101 | D9 | semidirect |
| 197. #101 | C2×D9 | semidirect |
| 231. C2×C9 | #456 | semidirect |
| 283. C9 | C2×#456 | semidirect |
| 336. C2 | #10588432 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63713 | 2 |
| C2×#63506 | 2 |
| C2×#63471 | 2 |
| C2×C9×#101 | 2 |
| C2×#63384 | 2 |
| #10588432 | 2 |
| C2×#4752 | 3 |