Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10623256 | C2 | semidirect |
| 2. #10623111 | C2 | semidirect |
| 3. C11×#477 | C2 | semidirect |
| 4. #10622697 | C2 | semidirect |
| 5. #10622640 | C2 | semidirect |
| 6. #10622504 | C2 | semidirect |
| 7. #10622496 | C2 | semidirect |
| 8. #10622456 | C2 | semidirect |
| 9. D11×C4⋊C8 | C2 | semidirect |
| 10. #10622432 | C2 | semidirect |
| 11. #10622420 | C2 | semidirect |
| 118. #477 | D11 | semidirect |
| 223. C11 | #3247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623256 | 2 |
| #10623111 | 2 |
| C11×#477 | 2 |
| #10622697 | 2 |
| #10622640 | 2 |
| #10622504 | 2 |
| #10622496 | 2 |
| #10622456 | 2 |
| D11×C4⋊C8 | 2 |
| #10622432 | 2 |
| #10622420 | 2 |
| #3247 | 11 |