Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
844 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 844 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. C2×#14273772 | C2 | semidirect |
| 2. C2×#14273753 | C2 | semidirect |
| 3. #16837569 | C2 | direct (N × H) |
| 4. C2×#14273655 | C2 | semidirect |
| 5. C2×#14273644 | C2 | semidirect |
| 6. C2×#127×C59 | C2 | semidirect |
| 9. #14273772 | C22 | semidirect |
| 15. #14273753 | C22 | semidirect |
| 18. C2×#11745664 | C22 | semidirect |
| 19. #14273655 | C22 | semidirect |
| 20. #14273644 | C22 | semidirect |
| 23. C22×D4×C59 | C22 | semidirect |
| 25. #127×C59 | C22 | semidirect |
| 26. C2×C42×C59 | C22 | semidirect |
| 39. C2×D4×C59 | C23 | semidirect |
| 53. #11745685 | D4 | semidirect |
| 55. C2×D236 | D4 | semidirect |
| 57. C2×Dic118 | D4 | semidirect |
| 59. C42×C59 | C23 | semidirect |
| 63. #11745664 | C23 | semidirect |
| 94. D236 | C2×D4 | semidirect |
| 98. Dic118 | C2×D4 | semidirect |
| 124. C2×C59 | #453 | semidirect |
| 129. C2×#127 | D59 | semidirect |
| 133. C59 | C2×#453 | semidirect |
| 143. C22×D4 | C2×D59 | semidirect |
| 150. #127 | C2×D59 | semidirect |
| 151. C2×C42 | C2×D59 | semidirect |
| 180. C2×D4 | C22×D59 | semidirect |
| 191. C42 | C22×D59 | semidirect |
| 251. C2 | #16837569 | direct (N × H) |