Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1164 conjugacy classes of subgroups.
The subgroup lattice has 405 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #10589399 | C2 | direct (N × H) |
| 21. C2×#3748 | C4 | semidirect |
| 22. C2×#3748 | C4 | semidirect |
| 23. C2×#3748 | C4 | semidirect |
| 27. C22×C3⋊(C3⋊C8) | C4 | semidirect |
| 61. #3748 | C2×C4 | semidirect |
| 67. C2×C3⋊(C3⋊C8) | C2×C4 | semidirect |
| 262. C2×C32 | #344 | semidirect |
| 323. C32 | C2×#344 | semidirect |
| 370. C2×C3 | #4533 | semidirect |
| 395. C3 | C2×#4533 | semidirect |
| 402. C2 | #10589399 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×#117 | 2 |
| C22×#3748 | 2 |
| #10589399 | 2 |
| C2×#4533 | 3 |