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×#477 | C2 | semidirect |
| 4. #10622697 | C2 | semidirect |
| 5. #10622634 | C2 | semidirect |
| 6. #10622503 | C2 | semidirect |
| 7. #10622494 | C2 | semidirect |
| 8. #10622455 | C2 | semidirect |
| 9. #10622450 | C2 | semidirect |
| 11. #10622404 | C2 | semidirect |
| 46. #4343 | Q8 | semidirect |
| 87. Q8×C11 | C2×Q8 | semidirect |
| 101. D44 | C2×Q8 | semidirect |
| 117. #477 | D11 | semidirect |
| 219. C11 | #3079 | semidirect |
| 226. Q8 | 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×#4343 | 2 |
| C11×#477 | 2 |
| #10622697 | 2 |
| #10622634 | 2 |
| #10622503 | 2 |
| #10622494 | 2 |
| #10622455 | 2 |
| #10622450 | 2 |
| #10622416 | 2 |
| #10622404 | 2 |
| #3079 | 11 |