Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11745687 | C2 | semidirect |
| 2. C2×#14273757 | C2 | semidirect |
| 3. #16837909 | C2 | semidirect |
| 4. #16837561 | C2 | semidirect |
| 5. #16837544 | C2 | semidirect |
| 6. #16837412 | C2 | semidirect |
| 7. #16837407 | C2 | semidirect |
| 8. #16837365 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 19. C2×#11745672 | C22 | semidirect |
| 20. C2×#11745670 | C22 | semidirect |
| 23. #14273703 | C22 | semidirect |
| 24. #14273698 | C22 | semidirect |
| 28. #14273652 | C22 | semidirect |
| 29. #14273648 | C22 | semidirect |
| 30. (C2×D59)⋊C8 | C22 | semidirect |
| 34. C2×SD16×C59 | C22 | semidirect |
| 35. C2×D8×C59 | C22 | semidirect |
| 45. C2×D4×C59 | D4 | semidirect |
| 66. C2×Dic118 | D4 | semidirect |
| 148. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 155. C59 | #3005 | semidirect |
| 170. C2×SD16 | C2×D59 | semidirect |
| 171. C2×D8 | C2×D59 | semidirect |
| 201. C2×D4 | C22⋊D59 | semidirect |