Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
354 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10623261 | C2 | semidirect |
| 3. C11×#500 | C2 | semidirect |
| 4. #10622704 | C2 | semidirect |
| 5. #10622697 | C2 | semidirect |
| 6. #10622501 | C2 | semidirect |
| 7. #10622499 | C2 | semidirect |
| 8. #10622495 | C2 | semidirect |
| 9. #10622494 | C2 | semidirect |
| 10. C4×#4314 | C2 | semidirect |
| 11. #10622301 | C2 | semidirect |
| 102. #500 | D11 | semidirect |
| 194. C11 | #3357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623265 | 2 |
| #10623261 | 2 |
| C11×#500 | 2 |
| #10622704 | 2 |
| #10622697 | 2 |
| #10622501 | 2 |
| #10622499 | 2 |
| #10622495 | 2 |
| #10622494 | 2 |
| C4×#4314 | 2 |
| #10622301 | 2 |
| #3357 | 11 |