Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
381 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 381 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 4. C3×#4511 | C2 | semidirect |
| 5. #10589134 | C2 | semidirect |
| 25. #4511 | D3 | semidirect |
| 162. C3⋊D3 | #364 | semidirect |
| 197. C32 | C2×#364 | semidirect |
| 230. C3 | D3×#364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊D3×M32 | 2 |
| C8×#624 | 2 |
| #10590625 | 2 |
| C3×#4511 | 2 |
| #10589134 | 2 |
| D3×#364 | 3 |