Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
482 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 123 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×Q16×D11 | C2 | semidirect |
| 2. C2×#66965 | C2 | semidirect |
| 3. #10623208 | C2 | semidirect |
| 4. C11×#495 | C2 | semidirect |
| 5. #10622801 | C2 | semidirect |
| 6. #10622786 | C2 | semidirect |
| 7. #10622783 | C2 | semidirect |
| 8. #10622770 | C2 | semidirect |
| 9. #10622667 | C2 | semidirect |
| 10. C4×Dic44 | C2 | semidirect |
| 11. C8×D44 | C2 | semidirect |
| 77. Dic44 | D4 | semidirect |
| 115. #495 | D11 | semidirect |
| 132. C2×D11 | #135 | semidirect |
| 216. C11 | #3285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D11 | 2 |
| C2×#66965 | 2 |
| #10623208 | 2 |
| C11×#495 | 2 |
| #10622801 | 2 |
| #10622786 | 2 |
| #10622783 | 2 |
| #10622770 | 2 |
| #10622667 | 2 |
| C4×Dic44 | 2 |
| C8×D44 | 2 |
| #3285 | 11 |