Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
424 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 165 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×#500 | C2 | semidirect |
| 3. #10622691 | C2 | semidirect |
| 5. #10622487 | C2 | semidirect |
| 7. #10622295 | C2 | semidirect |
| 44. C8×D11 | Q8 | semidirect |
| 62. C8×C11 | C2×Q8 | semidirect |
| 63. C11⋊C8 | C2×Q8 | semidirect |
| 68. #500 | D11 | direct (N × H) |
| 102. D11 | #500 | direct (N × H) |
| 124. C11 | C2×#500 | semidirect |
| 142. C8 | Q8×D11 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×C4⋊Q8 | 2 |
| C11×#500 | 2 |
| #10622691 | 2 |
| D11×#107 | 2 |
| #10622487 | 2 |
| C4×C8×D11 | 2 |
| #10622295 | 2 |
| C2×#500 | 11 |