Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
924 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 237 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. C2×D4×Dic11 | C2 | semidirect |
| 3. C2×#66946 | C2 | semidirect |
| 4. C2×(C22⋊D11)⋊C4 | C2 | semidirect |
| 5. C11×#390 | C2 | semidirect |
| 6. #10622589 | C2 | semidirect |
| 7. #10622570 | C2 | semidirect |
| 8. #10622552 | C2 | semidirect |
| 9. C42×Dic11 | C2 | semidirect |
| 19. #66993 | C4 | semidirect |
| 35. C2×D4×C11 | C2×C4 | semidirect |
| 41. C2×C22⋊D11 | C2×C4 | semidirect |
| 50. C2×D44 | C2×C4 | semidirect |
| 62. C4×Dic11 | C2×C4 | semidirect |
| 63. C4×Dic11 | D4 | semidirect |
| 64. C4×Dic11 | D4 | semidirect |
| 105. #390 | D11 | semidirect |
| 125. C4×C11 | C4×D4 | semidirect |
| 128. Dic11 | C4×D4 | semidirect |
| 129. Dic11 | #127 | semidirect |
| 168. C2×D4 | C4×D11 | semidirect |
| 192. C11 | C4×#127 | semidirect |
| 247. C4 | (C22⋊D11)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66993 | 2 |
| C2×D4×Dic11 | 2 |
| C2×#66946 | 2 |
| C2×(C22⋊D11)⋊C4 | 2 |
| C11×#390 | 2 |
| #10622589 | 2 |
| #10622570 | 2 |
| #10622552 | 2 |
| C42×Dic11 | 2 |
| C4×#127 | 11 |