Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
104 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 35 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. D11×Q32 | C2 | semidirect |
| 3. C11×Q64 | C2 | semidirect |
| 4. #10622160 | C2 | semidirect |
| 5. #10622159 | C2 | semidirect |
| 6. #10622087 | C2 | semidirect |
| 7. #10622085 | C2 | semidirect |
| 45. Q64 | D11 | semidirect |
| 81. C11 | #2264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622532 | 2 |
| D11×Q32 | 2 |
| C11×Q64 | 2 |
| #10622160 | 2 |
| #10622159 | 2 |
| #10622087 | 2 |
| #10622085 | 2 |
| #2264 | 11 |