Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×D472 | C2 | semidirect |
| 2. C2×#14273733 | C2 | semidirect |
| 3. #16837971 | C2 | semidirect |
| 4. #16837656 | C2 | semidirect |
| 5. #16837639 | C2 | semidirect |
| 6. #16837406 | C2 | semidirect |
| 7. C59×#427 | C2 | semidirect |
| 15. C2×#11745659 | C22 | semidirect |
| 16. C2×C8×D59 | C22 | semidirect |
| 19. #14273702 | C22 | semidirect |
| 21. #14273647 | C22 | semidirect |
| 24. #107×C59 | C22 | semidirect |
| 25. #106×C59 | C22 | semidirect |
| 39. C2×C8×C59 | D4 | semidirect |
| 99. #427 | D59 | semidirect |
| 101. C59 | #3058 | semidirect |
| 117. #107 | C2×D59 | semidirect |
| 118. #106 | C2×D59 | semidirect |
| 139. C2×C8 | D236 | semidirect |