Finite Group DatabasebetaFinite Group DatabasebetaOrder 1056.
120 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 47 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. C4⋊Dic33 | C2 | semidirect |
| 5. #10587201 | C2 | semidirect |
| 6. #10587201 | C2 | semidirect |
| 7. C4×Dic33 | C2 | semidirect |
| 62. C3×C11 | #126 | semidirect |
| 92. C11 | #879 | semidirect |
| 114. C3 | #66932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C11×C22⋊C4 | 2 |
| #10587208 | 2 |
| C4⋊Dic33 | 2 |
| #10587201 | 2 |
| C4×Dic33 | 2 |
| #66932 | 3 |
| #879 | 11 |