Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
534 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 141 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. #10592792 | C2 | semidirect |
| 3. #10592778 | C2 | semidirect |
| 6. #10592380 | C2 | semidirect |
| 7. C8×C3⋊(C3⋊C8) | C2 | semidirect |
| 167. C32 | #1711 | semidirect |
| 198. C3 | #71183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#486 | 2 |
| #10592792 | 2 |
| #10592778 | 2 |
| #10592769 | 2 |
| #10592380 | 2 |
| C8×C3⋊(C3⋊C8) | 2 |
| #71183 | 3 |