Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C2×#67043 | C2 | semidirect |
| 2. C2×#67003 | C2 | semidirect |
| 3. C2×#66962 | C2 | semidirect |
| 4. #10623041 | C2 | semidirect |
| 5. C11×#417 | C2 | semidirect |
| 6. #10622742 | C2 | semidirect |
| 7. C2×#66874 | C2 | semidirect |
| 8. #10622421 | C2 | semidirect |
| 9. #10622419 | C2 | semidirect |
| 10. #10622396 | C2 | semidirect |
| 11. #10622394 | C2 | semidirect |
| 46. C11×#41 | D4 | semidirect |
| 79. C2×Dic22 | D4 | semidirect |
| 150. #417 | D11 | semidirect |
| 223. #41 | D44 | semidirect |
| 267. C11 | #3013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#67043 | 2 |
| C2×#67003 | 2 |
| C2×#66962 | 2 |
| #10623041 | 2 |
| C11×#417 | 2 |
| #10622742 | 2 |
| C2×#66874 | 2 |
| #10622421 | 2 |
| #10622419 | 2 |
| #10622396 | 2 |
| #10622394 | 2 |
| #3013 | 11 |