Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 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. #16837730 | C2 | semidirect |
| 3. #16837689 | C2 | semidirect |
| 4. #16837604 | C2 | semidirect |
| 6. C4×#11745671 | C2 | semidirect |
| 7. #16837455 | C2 | semidirect |
| 8. C59×#533 | C2 | semidirect |
| 18. #14273658 | C22 | semidirect |
| 19. C4⋊(C59⋊C8) | C22 | semidirect |
| 20. #14273651 | C22 | semidirect |
| 23. C4×C59⋊C8 | C22 | semidirect |
| 24. C4⋊Q8×C59 | C22 | semidirect |
| 25. C4⋊Q8×C59 | C22 | semidirect |
| 30. C4×Q8×C59 | C22 | semidirect |
| 75. C2×C4×C59 | SD16 | semidirect |
| 113. #533 | D59 | semidirect |
| 121. C59 | #3101 | semidirect |
| 125. C4⋊Q8 | C2×D59 | semidirect |
| 126. C4⋊Q8 | C2×D59 | semidirect |
| 131. C4×Q8 | C2×D59 | semidirect |
| 195. C2×C4 | #11745671 | semidirect |