Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. C11×#494 | C2 | semidirect |
| 5. #10622797 | C2 | semidirect |
| 6. Q16×Dic11 | C2 | semidirect |
| 7. #10622695 | C2 | semidirect |
| 9. #10622296 | C2 | semidirect |
| 68. #494 | D11 | semidirect |
| 128. C11 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623262 | 2 |
| C11×#494 | 2 |
| #10622802 | 2 |
| #10622801 | 2 |
| #10622797 | 2 |
| Q16×Dic11 | 2 |
| #10622695 | 2 |
| #10622302 | 2 |
| #10622296 | 2 |
| #3177 | 11 |