Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
364 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 364 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×#555 | C2 | semidirect |
| 2. #10623094 | C2 | semidirect |
| 3. #10622697 | C2 | semidirect |
| 4. #10622691 | C2 | semidirect |
| 5. #10622651 | C2 | semidirect |
| 6. #10622648 | C2 | semidirect |
| 7. C4×#4323 | C2 | semidirect |
| 8. D4×C11⋊C8 | C2 | semidirect |
| 9. #10622621 | C2 | semidirect |
| 10. #10622616 | C2 | semidirect |
| 11. #10622611 | C2 | semidirect |
| 102. #555 | D11 | semidirect |
| 198. C11 | #3341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#555 | 2 |
| #10623094 | 2 |
| #10622697 | 2 |
| #10622691 | 2 |
| #10622651 | 2 |
| #10622648 | 2 |
| C4×#4323 | 2 |
| D4×C11⋊C8 | 2 |
| #10622621 | 2 |
| #10622616 | 2 |
| #10622611 | 2 |
| #3341 | 11 |