Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
352 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 352 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×#556 | C2 | semidirect |
| 3. #10622700 | C2 | semidirect |
| 4. #10622692 | C2 | semidirect |
| 5. #10622661 | C2 | semidirect |
| 6. #10622658 | C2 | semidirect |
| 7. C4×#4325 | C2 | semidirect |
| 8. #10622634 | C2 | semidirect |
| 9. D4×C11⋊C8 | C2 | semidirect |
| 10. #10622616 | C2 | semidirect |
| 11. #10622611 | C2 | semidirect |
| 99. #556 | D11 | semidirect |
| 193. C11 | #3340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#556 | 2 |
| #10623094 | 2 |
| #10622700 | 2 |
| #10622692 | 2 |
| #10622661 | 2 |
| #10622658 | 2 |
| C4×#4325 | 2 |
| #10622634 | 2 |
| D4×C11⋊C8 | 2 |
| #10622616 | 2 |
| #10622611 | 2 |
| #3340 | 11 |