Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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×#533 | C2 | semidirect |
| 3. #10622702 | C2 | semidirect |
| 4. #10622699 | C2 | semidirect |
| 5. #10622663 | C2 | semidirect |
| 7. #10622641 | C2 | semidirect |
| 8. #10622539 | C2 | semidirect |
| 11. C11×C4⋊Q8 | C22 | semidirect |
| 12. C11×C4⋊Q8 | C22 | semidirect |
| 17. C4×Q8×C11 | C22 | semidirect |
| 20. C2×#4326 | C22 | semidirect |
| 29. #66874 | C22 | semidirect |
| 31. C4⋊(C11⋊C8) | C22 | semidirect |
| 32. #66867 | C22 | semidirect |
| 91. #533 | D11 | semidirect |
| 120. C4⋊Q8 | C2×D11 | semidirect |
| 121. C4⋊Q8 | C2×D11 | semidirect |
| 130. C4×Q8 | C2×D11 | semidirect |
| 177. C11 | #3215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#533 | 2 |
| C2×#66928 | 2 |
| #10622702 | 2 |
| #10622699 | 2 |
| #10622663 | 2 |
| #10622659 | 2 |
| #10622641 | 2 |
| #10622539 | 2 |
| #3215 | 11 |