Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
738 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 143 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×Q8×D59 | C2 | semidirect |
| 2. C2×#14273756 | C2 | semidirect |
| 4. #16837560 | C2 | semidirect |
| 5. #16837559 | C2 | semidirect |
| 6. #16837558 | C2 | semidirect |
| 7. #16837540 | C2 | semidirect |
| 8. #16837539 | C2 | semidirect |
| 9. #16837409 | C2 | semidirect |
| 10. #16837364 | C2 | semidirect |
| 11. C59×#448 | C2 | semidirect |
| 23. C2×Dic236 | C22 | semidirect |
| 24. C2×#11745672 | C22 | semidirect |
| 25. C2×#11745670 | C22 | semidirect |
| 35. #14273652 | C22 | semidirect |
| 36. #14273651 | C22 | semidirect |
| 37. #14273650 | C22 | semidirect |
| 41. C2×SD16×C59 | C22 | semidirect |
| 43. #103×C59 | C22 | semidirect |
| 63. Q8×D59 | D4 | semidirect |
| 144. C22×C59 | #137 | semidirect |
| 152. C2×D59 | #137 | semidirect |
| 178. #448 | D59 | semidirect |
| 181. C59 | #3004 | semidirect |
| 197. C2×SD16 | C2×D59 | semidirect |
| 211. #103 | C2×D59 | semidirect |
| 321. C22 | #14273756 | semidirect |