Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
338 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. C11×#491 | C2 | semidirect |
| 4. #10622705 | C2 | semidirect |
| 5. #10622677 | C2 | semidirect |
| 8. #10622403 | C2 | semidirect |
| 9. #10622402 | C2 | semidirect |
| 11. #10622316 | C2 | semidirect |
| 93. #491 | D11 | semidirect |
| 170. C11 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623262 | 2 |
| #10623228 | 2 |
| C11×#491 | 2 |
| #10622705 | 2 |
| #10622677 | 2 |
| #10622429 | 2 |
| #10622426 | 2 |
| #10622403 | 2 |
| #10622402 | 2 |
| #10622321 | 2 |
| #10622316 | 2 |
| #3177 | 11 |