Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. C11×#533 | C2 | semidirect |
| 3. #10622701 | C2 | semidirect |
| 4. #10622698 | C2 | semidirect |
| 5. #10622659 | C2 | semidirect |
| 6. #10622640 | C2 | semidirect |
| 7. #10622538 | C2 | semidirect |
| 11. C11×C4⋊Q8 | C22 | semidirect |
| 12. C11×C4⋊Q8 | C22 | semidirect |
| 17. C4×Q8×C11 | C22 | semidirect |
| 20. C2×#4325 | C22 | semidirect |
| 26. #66873 | C22 | semidirect |
| 27. C4⋊(C11⋊C8) | C22 | semidirect |
| 28. C4×C11⋊C8 | C22 | semidirect |
| 70. C2×C4×C11 | SD16 | semidirect |
| 84. #533 | D11 | semidirect |
| 111. C4⋊Q8 | C2×D11 | semidirect |
| 112. C4⋊Q8 | C2×D11 | semidirect |
| 121. C4×Q8 | C2×D11 | semidirect |
| 162. C11 | #3208 | semidirect |
| 180. C2×C4 | #4325 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#533 | 2 |
| C2×#66927 | 2 |
| #10622701 | 2 |
| #10622698 | 2 |
| #10622659 | 2 |
| #10622640 | 2 |
| #10622538 | 2 |
| #3208 | 11 |