Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 1. C22×#11745671 | C2 | semidirect |
| 3. #16837880 | C2 | semidirect |
| 4. #16837626 | C2 | semidirect |
| 5. #16837600 | C2 | semidirect |
| 6. #16837430 | C2 | semidirect |
| 7. #16837408 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 9. C2×#137×C59 | C2 | semidirect |
| 19. Q8×Dic59 | C22 | semidirect |
| 23. Dic59⋊C8 | C22 | semidirect |
| 24. #14273651 | C22 | semidirect |
| 26. #14273648 | C22 | semidirect |
| 30. C2×Q16×C59 | C22 | semidirect |
| 31. C2×SD16×C59 | C22 | semidirect |
| 38. C2×Q8×C59 | D4 | semidirect |
| 117. C2×#137 | D59 | semidirect |
| 126. C59 | #3043 | semidirect |
| 131. C2×Q16 | C2×D59 | semidirect |
| 134. C2×SD16 | C2×D59 | semidirect |
| 155. C2×Q8 | C22⋊D59 | semidirect |