Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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×#500 | C2 | semidirect |
| 2. #10622705 | C2 | semidirect |
| 5. #10622691 | C2 | semidirect |
| 7. #10622092 | C2 | semidirect |
| 57. #500 | D11 | semidirect |
| 108. C11 | #1722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#500 | 2 |
| #10622705 | 2 |
| #10622701 | 2 |
| #10622698 | 2 |
| #10622691 | 2 |
| #10622307 | 2 |
| #10622092 | 2 |
| #1722 | 11 |