Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
374 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 2. #10623073 | C2 | semidirect |
| 3. #10622707 | C2 | semidirect |
| 4. #10622691 | C2 | semidirect |
| 5. #10622655 | C2 | semidirect |
| 6. #10622648 | C2 | semidirect |
| 7. C4×#4324 | C2 | semidirect |
| 8. #10622625 | C2 | semidirect |
| 9. #10622620 | C2 | semidirect |
| 10. #10622583 | C2 | semidirect |
| 11. #10622577 | C2 | semidirect |
| 100. C11⋊C8 | #41 | semidirect |
| 196. C11 | #3353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#547 | 2 |
| #10623073 | 2 |
| #10622707 | 2 |
| #10622691 | 2 |
| #10622655 | 2 |
| #10622648 | 2 |
| C4×#4324 | 2 |
| #10622625 | 2 |
| #10622620 | 2 |
| #10622583 | 2 |
| #10622577 | 2 |
| #3353 | 11 |