Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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×#431 | C2 | semidirect |
| 3. #10622538 | C2 | semidirect |
| 4. #10622121 | C2 | semidirect |
| 14. C11×C4⋊C8 | C22 | semidirect |
| 19. C4×C11⋊C8 | C22 | semidirect |
| 27. C2×D44 | C8 | semidirect |
| 69. #431 | D11 | semidirect |
| 97. C4⋊C8 | C2×D11 | semidirect |
| 129. C11 | #1478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D44 | 2 |
| C11×#431 | 2 |
| #10622538 | 2 |
| #10622121 | 2 |
| #1478 | 11 |