Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
498 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 119 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. #10592882 | C2 | semidirect |
| 5. #10589430 | C2 | semidirect |
| 6. #10589369 | C2 | semidirect |
| 7. #10589367 | C2 | semidirect |
| 117. C3⋊Dic3 | SD32 | semidirect |
| 183. C32 | #2208 | semidirect |
| 216. C3 | #71476 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×SD32 | 2 |
| #10592882 | 2 |
| D8×C3⋊Dic3 | 2 |
| C2×#63654 | 2 |
| #10589430 | 2 |
| #10589369 | 2 |
| #10589367 | 2 |
| #71476 | 3 |