Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
338 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #10590042 | C2 | semidirect |
| 19. #3787 | C8 | semidirect |
| 45. #622 | C2×C8 | semidirect |
| 97. C3⋊D3 | #335 | semidirect |
| 123. C32 | C2×#335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#3787 | 2 |
| #10590331 | 2 |
| #10590042 | 2 |
| C2×#335 | 9 |