Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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×#544 | C2 | semidirect |
| 3. #10622707 | C2 | semidirect |
| 4. #10622697 | C2 | semidirect |
| 5. #10622679 | C2 | semidirect |
| 6. #10622676 | C2 | semidirect |
| 8. #10622612 | C2 | semidirect |
| 9. #10622608 | C2 | semidirect |
| 11. C2×#66872 | C2 | semidirect |
| 47. #4339 | Q8 | semidirect |
| 102. #544 | D11 | semidirect |
| 198. C11 | #3084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#544 | 2 |
| #10623054 | 2 |
| #10622707 | 2 |
| #10622697 | 2 |
| #10622679 | 2 |
| #10622676 | 2 |
| #10622615 | 2 |
| #10622612 | 2 |
| #10622608 | 2 |
| #10622579 | 2 |
| C2×#66872 | 2 |
| #3084 | 11 |