Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
402 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 157 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. C11×#433 | C2 | semidirect |
| 3. #10622613 | C2 | semidirect |
| 4. #10622451 | C2 | semidirect |
| 5. #10622449 | C2 | semidirect |
| 6. #10622340 | C2 | semidirect |
| 7. #10622339 | C2 | semidirect |
| 8. #10622319 | C2 | semidirect |
| 9. #10622301 | C2 | semidirect |
| 15. C2×#4313 | C22 | semidirect |
| 16. C2×C8×D11 | C22 | semidirect |
| 23. C11×C4⋊C8 | C22 | semidirect |
| 25. C11×#97 | C22 | semidirect |
| 26. C4×C8×C11 | C22 | semidirect |
| 30. (C2×D11)⋊C8 | C22 | semidirect |
| 31. (C2×D11)⋊C8 | C22 | semidirect |
| 32. C4⋊(C11⋊C8) | C22 | semidirect |
| 33. #66867 | C22 | semidirect |
| 34. C4×C11⋊C8 | C22 | semidirect |
| 100. #433 | D11 | semidirect |
| 133. C4⋊C8 | C2×D11 | semidirect |
| 141. #97 | C2×D11 | semidirect |
| 143. C4×C8 | C2×D11 | semidirect |
| 180. C11 | #2978 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623055 | 2 |
| C11×#433 | 2 |
| #10622613 | 2 |
| #10622451 | 2 |
| #10622449 | 2 |
| #10622340 | 2 |
| #10622339 | 2 |
| #10622319 | 2 |
| #10622301 | 2 |
| #2978 | 11 |