Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
385 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 385 conjugacy classes of subgroups — too many to draw. Only its 112 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. C3×C4⋊(C3⋊C16) | C2 | semidirect |
| 4. #10589104 | C2 | semidirect |
| 19. C4⋊(C3⋊C16) | D3 | semidirect |
| 189. C32 | #2163 | semidirect |
| 225. C3 | #69275 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C8×C3⋊D3 | 2 |
| C3×C4⋊(C3⋊C16) | 2 |
| #10589108 | 2 |
| #10589104 | 2 |
| #69275 | 3 |