Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
176 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 51 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×#486 | C2 | semidirect |
| 2. #10622696 | C2 | semidirect |
| 4. #10622301 | C2 | semidirect |
| 5. #10622185 | C2 | semidirect |
| 6. #10622182 | C2 | semidirect |
| 7. #10622095 | C2 | semidirect |
| 66. #486 | D11 | semidirect |
| 126. C11 | #1701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#486 | 2 |
| #10622696 | 2 |
| #10622685 | 2 |
| #10622301 | 2 |
| #10622185 | 2 |
| #10622182 | 2 |
| #10622095 | 2 |
| #1701 | 11 |