Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2148 conjugacy classes of subgroups; only the 565 normal subgroups are shown.
This group has 2148 conjugacy classes of subgroups — too many to draw. Only its 565 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. C32×#519 | C2 | semidirect |
| 3. #10596283 | C2 | semidirect |
| 4. #10592705 | C2 | semidirect |
| 9. C2×#3832 | C4 | semidirect |
| 10. C2×Q8×C3⋊D3 | C4 | semidirect |
| 18. C3×#519 | D3 | semidirect |
| 67. #519 | C3⋊D3 | semidirect |
| 155. C32 | #2884 | semidirect |
| 185. C3 | #82556 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64364 | 2 |
| C32×#519 | 2 |
| #10596283 | 2 |
| #10592705 | 2 |
| #82556 | 3 |