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×#423 | C2 | semidirect |
| 4. C4×C4⋊Dic11 | C2 | semidirect |
| 5. #10622193 | C2 | semidirect |
| 14. C4×D44 | C4 | semidirect |
| 15. C4×D44 | C4 | semidirect |
| 18. C4×Dic22 | C4 | semidirect |
| 19. C4×Dic22 | C4 | semidirect |
| 82. D44 | C4⋊C4 | semidirect |
| 88. Dic22 | C4⋊C4 | semidirect |
| 91. #423 | D11 | semidirect |
| 106. C4×C11 | #104 | semidirect |
| 173. C11 | #1806 | semidirect |
| 220. C4 | #66889 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4339 | 2 |
| C11×#423 | 2 |
| C2×#66889 | 2 |
| C4×C4⋊Dic11 | 2 |
| #10622193 | 2 |
| #1806 | 11 |