Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 123 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×#557 | C2 | semidirect |
| 3. #10622703 | C2 | semidirect |
| 4. #10622699 | C2 | semidirect |
| 6. #10622696 | C2 | semidirect |
| 7. C4×#4326 | C2 | semidirect |
| 8. #10622641 | C2 | semidirect |
| 10. #10622639 | C2 | semidirect |
| 11. #10622637 | C2 | semidirect |
| 104. #557 | D11 | semidirect |
| 197. C11 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#557 | 2 |
| #10623116 | 2 |
| #10622703 | 2 |
| #10622699 | 2 |
| #10622698 | 2 |
| #10622696 | 2 |
| C4×#4326 | 2 |
| #10622641 | 2 |
| #10622640 | 2 |
| #10622639 | 2 |
| #10622637 | 2 |
| #3400 | 11 |