Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
754 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 754 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 |
|---|---|---|
| 2. C2×#14273756 | C2 | semidirect |
| 3. C22⋊Q8×D59 | C2 | semidirect |
| 4. #16837565 | C2 | semidirect |
| 5. #16837561 | C2 | semidirect |
| 6. #16837560 | C2 | semidirect |
| 7. #16837557 | C2 | semidirect |
| 8. #16837553 | C2 | semidirect |
| 9. #16837400 | C2 | semidirect |
| 10. #16837364 | C2 | semidirect |
| 11. C59×#450 | C2 | semidirect |
| 18. C2×Q8×D59 | C22 | semidirect |
| 23. C2×Dic236 | C22 | semidirect |
| 24. C2×#11745672 | C22 | semidirect |
| 25. C2×#11745670 | C22 | semidirect |
| 26. C2×#11745659 | C22 | semidirect |
| 27. #14273707 | C22 | semidirect |
| 31. #14273703 | C22 | semidirect |
| 33. C4⋊C4×D59 | C22 | semidirect |
| 35. #14273652 | C22 | semidirect |
| 36. #14273650 | C22 | semidirect |
| 37. #14273648 | C22 | semidirect |
| 39. (C2×D59)⋊C8 | C22 | semidirect |
| 41. C2×SD16×C59 | C22 | semidirect |
| 43. #102×C59 | C22 | semidirect |
| 146. C22×C59 | #137 | semidirect |
| 180. #450 | D59 | semidirect |
| 183. C59 | #3007 | semidirect |
| 199. C2×SD16 | C2×D59 | semidirect |
| 213. #102 | C2×D59 | semidirect |
| 325. C22 | #14273756 | semidirect |