Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
416 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 133 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. D11×C4⋊Q8 | C2 | semidirect |
| 3. C11×#476 | C2 | semidirect |
| 4. #10622704 | C2 | semidirect |
| 5. #10622621 | C2 | semidirect |
| 6. #10622474 | C2 | semidirect |
| 7. #10622467 | C2 | semidirect |
| 8. #10622463 | C2 | semidirect |
| 9. #10622450 | C2 | semidirect |
| 11. #10622372 | C2 | semidirect |
| 51. #4341 | Q8 | semidirect |
| 87. D4×C11 | C2×Q8 | semidirect |
| 111. Dic22 | C2×Q8 | semidirect |
| 119. #476 | D11 | semidirect |
| 219. C11 | #3079 | semidirect |
| 229. D4 | Q8×D11 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×C4⋊Q8 | 2 |
| C4×#4341 | 2 |
| C11×#476 | 2 |
| #10622704 | 2 |
| #10622621 | 2 |
| #10622474 | 2 |
| #10622467 | 2 |
| #10622463 | 2 |
| #10622450 | 2 |
| #10622384 | 2 |
| #10622372 | 2 |
| #3079 | 11 |