Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
496 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#66972 | C2 | semidirect |
| 2. #10623256 | C2 | semidirect |
| 3. C4×#4343 | C2 | semidirect |
| 4. C11×#462 | C2 | semidirect |
| 5. #10622798 | C2 | semidirect |
| 6. #10622696 | C2 | semidirect |
| 7. #10622640 | C2 | semidirect |
| 8. #10622456 | C2 | semidirect |
| 9. D11×C4⋊C8 | C2 | semidirect |
| 10. #10622432 | C2 | semidirect |
| 11. #10622417 | C2 | semidirect |
| 49. #4343 | D4 | semidirect |
| 129. #462 | D11 | semidirect |
| 149. C4×C11 | #135 | semidirect |
| 238. C11 | #3035 | semidirect |
| 292. C4 | #66972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66972 | 2 |
| #10623256 | 2 |
| C4×#4343 | 2 |
| C11×#462 | 2 |
| #10622798 | 2 |
| #10622696 | 2 |
| #10622640 | 2 |
| #10622456 | 2 |
| D11×C4⋊C8 | 2 |
| #10622432 | 2 |
| #10622417 | 2 |
| #3035 | 11 |