Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. C4×Q8×D11 | C2 | semidirect |
| 3. C11×#460 | C2 | semidirect |
| 4. #10622783 | C2 | semidirect |
| 5. #10622777 | C2 | semidirect |
| 6. #10622688 | C2 | semidirect |
| 7. #10622634 | C2 | semidirect |
| 8. #10622463 | C2 | semidirect |
| 9. #10622448 | C2 | semidirect |
| 10. #10622387 | C2 | semidirect |
| 11. #10622370 | C2 | semidirect |
| 87. Q8×C11 | #41 | semidirect |
| 114. Dic22 | #41 | semidirect |
| 123. #460 | D11 | semidirect |
| 223. C11 | #3112 | semidirect |
| 231. Q8 | #4341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623247 | 2 |
| C4×Q8×D11 | 2 |
| C11×#460 | 2 |
| #10622783 | 2 |
| #10622777 | 2 |
| #10622688 | 2 |
| #10622634 | 2 |
| #10622463 | 2 |
| #10622448 | 2 |
| #10622387 | 2 |
| #10622370 | 2 |
| #3112 | 11 |