Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 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 |
|---|---|---|
| 2. Q8×Dic22 | C2 | semidirect |
| 4. #10622779 | C2 | semidirect |
| 5. #10622777 | C2 | semidirect |
| 7. C4×#4326 | C2 | semidirect |
| 8. #10622463 | C2 | semidirect |
| 9. #10622444 | C2 | semidirect |
| 10. #10622378 | C2 | semidirect |
| 11. #10622372 | C2 | semidirect |
| 191. C11 | #3375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623244 | 2 |
| Q8×Dic22 | 2 |
| C11×#460 | 2 |
| #10622779 | 2 |
| #10622777 | 2 |
| #10622683 | 2 |
| C4×#4326 | 2 |
| #10622463 | 2 |
| #10622444 | 2 |
| #10622378 | 2 |
| #10622372 | 2 |
| #3375 | 11 |