Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
126 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 49 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. #10622293 | C2 | semidirect |
| 4. #10622132 | C2 | semidirect |
| 5. #10622101 | C2 | semidirect |
| 17. C11×Q16 | Q8 | semidirect |
| 19. C11×D8 | Q8 | semidirect |
| 69. Q16 | Dic22 | semidirect |
| 71. D8 | Dic22 | semidirect |
| 81. C11 | #2230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#443 | 2 |
| #10622293 | 2 |
| #10622204 | 2 |
| #10622132 | 2 |
| #10622101 | 2 |
| #2230 | 11 |