Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
162 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 162 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×#462 | C2 | semidirect |
| 4. #10622637 | C2 | semidirect |
| 5. #10622185 | C2 | semidirect |
| 7. #10622118 | C2 | semidirect |
| 64. #462 | D11 | semidirect |
| 119. C11 | #1702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#462 | 2 |
| #10622701 | 2 |
| #10622640 | 2 |
| #10622637 | 2 |
| #10622185 | 2 |
| #10622123 | 2 |
| #10622118 | 2 |
| #1702 | 11 |