Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
738 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14273757 | C2 | semidirect |
| 4. #16837556 | C2 | semidirect |
| 5. #16837539 | C2 | semidirect |
| 6. #16837412 | C2 | semidirect |
| 7. #16837411 | C2 | semidirect |
| 8. #16837365 | C2 | semidirect |
| 9. C2×#137×C59 | C2 | semidirect |
| 19. C2×#11745672 | C22 | semidirect |
| 20. C2×#11745670 | C22 | semidirect |
| 28. #14273652 | C22 | semidirect |
| 29. #14273651 | C22 | semidirect |
| 34. C2×Q16×C59 | C22 | semidirect |
| 35. C2×SD16×C59 | C22 | semidirect |
| 42. C2×Q8×C59 | D4 | semidirect |
| 66. C2×Dic118 | D4 | semidirect |
| 127. C2×D59 | #137 | semidirect |
| 144. C2×#137 | D59 | semidirect |
| 151. C59 | #3004 | semidirect |
| 165. C2×Q16 | C2×D59 | semidirect |
| 167. C2×SD16 | C2×D59 | semidirect |
| 193. C2×Q8 | C22⋊D59 | semidirect |