Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 125 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×#554 | C2 | semidirect |
| 2. #10623116 | C2 | semidirect |
| 3. #10622704 | C2 | semidirect |
| 4. #10622701 | C2 | semidirect |
| 5. #10622681 | C2 | semidirect |
| 6. #10622679 | C2 | semidirect |
| 7. Q8×C11⋊C8 | C2 | semidirect |
| 8. C4×#4324 | C2 | semidirect |
| 9. #10622629 | C2 | semidirect |
| 11. C4×#4323 | C2 | semidirect |
| 102. #554 | D11 | semidirect |
| 195. C11 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#554 | 2 |
| #10623116 | 2 |
| #10622704 | 2 |
| #10622701 | 2 |
| #10622681 | 2 |
| #10622679 | 2 |
| Q8×C11⋊C8 | 2 |
| C4×#4324 | 2 |
| #10622629 | 2 |
| #10622628 | 2 |
| C4×#4323 | 2 |
| #3361 | 11 |