Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 117 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. Q8×Dic22 | C2 | semidirect |
| 5. #10622644 | C2 | semidirect |
| 7. #10622467 | C2 | semidirect |
| 8. #10622402 | C2 | semidirect |
| 10. #10622294 | C2 | semidirect |
| 11. #10622292 | C2 | semidirect |
| 189. C11 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic22 | 2 |
| #10623073 | 2 |
| C4×C11×SD16 | 2 |
| #10622779 | 2 |
| #10622644 | 2 |
| #10622621 | 2 |
| #10622467 | 2 |
| #10622402 | 2 |
| #10622378 | 2 |
| #10622294 | 2 |
| #10622292 | 2 |
| #3369 | 11 |