Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
218 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 53 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. #10622634 | C2 | semidirect |
| 3. #10622463 | C2 | semidirect |
| 5. C11×Q8⋊C8 | C2 | semidirect |
| 7. #10622094 | C2 | semidirect |
| 78. Q8⋊C8 | D11 | semidirect |
| 137. C11 | #1630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623116 | 2 |
| #10622634 | 2 |
| #10622463 | 2 |
| #10622306 | 2 |
| C11×Q8⋊C8 | 2 |
| #10622123 | 2 |
| #10622094 | 2 |
| #1630 | 11 |