Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
388 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. C11×#462 | C2 | semidirect |
| 4. #10622801 | C2 | semidirect |
| 5. #10622799 | C2 | semidirect |
| 6. #10622694 | C2 | semidirect |
| 7. C4×#4326 | C2 | semidirect |
| 8. #10622463 | C2 | semidirect |
| 10. #10622422 | C2 | semidirect |
| 11. D11×#103 | C2 | semidirect |
| 92. D44 | Q16 | semidirect |
| 110. #462 | D11 | semidirect |
| 198. C11 | #3299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623258 | 2 |
| #10623110 | 2 |
| C11×#462 | 2 |
| #10622801 | 2 |
| #10622799 | 2 |
| #10622694 | 2 |
| C4×#4326 | 2 |
| #10622463 | 2 |
| #10622447 | 2 |
| #10622422 | 2 |
| D11×#103 | 2 |
| #3299 | 11 |