Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
208 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 57 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×#492 | C2 | semidirect |
| 2. #10622706 | C2 | semidirect |
| 3. #10622701 | C2 | semidirect |
| 5. #10622683 | C2 | semidirect |
| 6. #10622307 | C2 | semidirect |
| 7. #10622092 | C2 | semidirect |
| 59. #492 | D11 | semidirect |
| 113. C11 | #1717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#492 | 2 |
| #10622706 | 2 |
| #10622701 | 2 |
| #10622686 | 2 |
| #10622683 | 2 |
| #10622307 | 2 |
| #10622092 | 2 |
| #1717 | 11 |