Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14268647 | C2 | semidirect |
| 2. #16813655 | C2 | semidirect |
| 3. #16813650 | C2 | semidirect |
| 4. #16813644 | C2 | semidirect |
| 5. C2×M16×C113 | C2 | semidirect |
| 9. #14268647 | C22 | semidirect |
| 10. C2×Dic226 | C22 | semidirect |
| 11. C2×D452 | C22 | semidirect |
| 14. Dic452 | C22 | semidirect |
| 15. #14268636 | C22 | semidirect |
| 16. D904 | C22 | semidirect |
| 18. M16×C113 | C22 | semidirect |
| 19. C2×C8×C113 | C22 | semidirect |
| 49. C113 | #575 | semidirect |
| 55. C2×M16 | D113 | semidirect |
| 68. M16 | C2×D113 | semidirect |
| 69. C2×C8 | C2×D113 | semidirect |