Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #10623054 | C2 | semidirect |
| 3. C11×#416 | C2 | semidirect |
| 4. #10622845 | C2 | semidirect |
| 5. #10622723 | C2 | semidirect |
| 6. C2×#66882 | C2 | semidirect |
| 7. #10622608 | C2 | semidirect |
| 8. #10622427 | C2 | semidirect |
| 9. #10622422 | C2 | semidirect |
| 10. #10622397 | C2 | semidirect |
| 11. #10622387 | C2 | semidirect |
| 118. #416 | D11 | semidirect |
| 210. C11 | #3098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623364 | 2 |
| #10623054 | 2 |
| C11×#416 | 2 |
| #10622845 | 2 |
| #10622723 | 2 |
| C2×#66882 | 2 |
| #10622608 | 2 |
| #10622427 | 2 |
| #10622422 | 2 |
| #10622397 | 2 |
| #10622387 | 2 |
| #3098 | 11 |