Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
438 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. C11×#532 | C2 | semidirect |
| 2. #10623008 | C2 | semidirect |
| 3. #10622851 | C2 | semidirect |
| 4. #10622698 | C2 | semidirect |
| 5. #10622694 | C2 | semidirect |
| 6. #10622686 | C2 | semidirect |
| 7. #10622683 | C2 | semidirect |
| 8. #10622670 | C2 | semidirect |
| 9. #10622538 | C2 | semidirect |
| 98. #532 | D11 | semidirect |
| 188. C11 | #3207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#532 | 2 |
| #10623008 | 2 |
| #10622851 | 2 |
| #10622698 | 2 |
| #10622694 | 2 |
| #10622686 | 2 |
| #10622683 | 2 |
| #10622670 | 2 |
| #10622538 | 2 |
| #3207 | 11 |