Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 3. C11×#405 | C2 | semidirect |
| 5. #10622733 | C2 | semidirect |
| 7. C2×#66880 | C2 | semidirect |
| 8. #10622327 | C2 | semidirect |
| 9. #10622316 | C2 | semidirect |
| 10. #10622310 | C2 | semidirect |
| 11. #10622294 | C2 | semidirect |
| 116. #405 | D11 | semidirect |
| 204. C11 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623057 | 2 |
| #10623050 | 2 |
| C11×#405 | 2 |
| #10622746 | 2 |
| #10622733 | 2 |
| #10622726 | 2 |
| C2×#66880 | 2 |
| #10622327 | 2 |
| #10622316 | 2 |
| #10622310 | 2 |
| #10622294 | 2 |
| #3137 | 11 |