Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14273750 | C2 | semidirect |
| 2. C2×M16×D59 | C2 | semidirect |
| 3. #16837915 | C2 | semidirect |
| 4. #16837657 | C2 | semidirect |
| 5. #16837656 | C2 | semidirect |
| 6. #16837655 | C2 | semidirect |
| 7. #16837651 | C2 | semidirect |
| 8. #16837650 | C2 | semidirect |
| 9. #16837437 | C2 | semidirect |
| 10. #16837397 | C2 | semidirect |
| 11. C59×#470 | C2 | semidirect |
| 15. C2×#11745671 | C22 | semidirect |
| 16. C2×D472 | C22 | semidirect |
| 31. #14273660 | C22 | semidirect |
| 32. #14273659 | C22 | semidirect |
| 33. #14273651 | C22 | semidirect |
| 34. #14273649 | C22 | semidirect |
| 35. #14273647 | C22 | semidirect |
| 36. C2×Q16×C59 | C22 | semidirect |
| 39. #106×C59 | C22 | semidirect |
| 40. #103×C59 | C22 | semidirect |
| 80. C8×D59 | D4 | semidirect |
| 145. #470 | D59 | semidirect |
| 152. C59 | #3054 | semidirect |
| 156. C2×Q16 | C2×D59 | semidirect |
| 177. #106 | C2×D59 | semidirect |
| 179. #103 | C2×D59 | semidirect |