Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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. #10623050 | C2 | semidirect |
| 5. C2×#66880 | C2 | semidirect |
| 6. #10622714 | C2 | semidirect |
| 7. #10622617 | C2 | semidirect |
| 8. #10622410 | C2 | semidirect |
| 9. #10622405 | C2 | semidirect |
| 10. #10622381 | C2 | semidirect |
| 11. #10622378 | C2 | semidirect |
| 204. C11 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623356 | 2 |
| #10623050 | 2 |
| C11×#416 | 2 |
| #10622845 | 2 |
| C2×#66880 | 2 |
| #10622714 | 2 |
| #10622617 | 2 |
| #10622410 | 2 |
| #10622405 | 2 |
| #10622381 | 2 |
| #10622378 | 2 |
| #3137 | 11 |