Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1038 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 1038 conjugacy classes of subgroups — too many to draw. Only its 229 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. C32×#518 | C2 | semidirect |
| 3. #10592914 | C2 | semidirect |
| 4. #10592705 | C2 | semidirect |
| 5. #10592704 | C2 | semidirect |
| 6. #10589399 | C2 | semidirect |
| 7. #10589397 | C2 | semidirect |
| 16. C2×#3754 | C4 | semidirect |
| 19. C2×#3753 | C4 | semidirect |
| 26. C3×#518 | D3 | semidirect |
| 47. C2×C4⋊(C3⋊D3) | C2×C4 | semidirect |
| 49. C2×#634 | C2×C4 | semidirect |
| 67. C2×C3⋊(C3⋊C8) | C2×C4 | semidirect |
| 118. #518 | C3⋊D3 | semidirect |
| 284. C32 | #1904 | semidirect |
| 340. C3 | #71651 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#518 | 2 |
| C2×#64141 | 2 |
| #10592914 | 2 |
| #10592705 | 2 |
| #10592704 | 2 |
| #10589399 | 2 |
| #10589397 | 2 |
| #71651 | 3 |