Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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×#532 | C2 | semidirect |
| 2. #10623008 | C2 | semidirect |
| 3. #10622697 | C2 | semidirect |
| 4. #10622685 | C2 | semidirect |
| 5. #10622652 | C2 | semidirect |
| 6. #10622628 | C2 | semidirect |
| 7. #10622621 | C2 | semidirect |
| 8. #10622537 | C2 | semidirect |
| 97. #532 | D11 | semidirect |
| 185. C11 | #3253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#532 | 2 |
| #10623008 | 2 |
| #10622697 | 2 |
| #10622685 | 2 |
| #10622652 | 2 |
| #10622628 | 2 |
| #10622621 | 2 |
| #10622537 | 2 |
| #3253 | 11 |