Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
544 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #16837500 | C2 | direct (N × H) |
| 4. C2×#14273660 | C2 | semidirect |
| 5. C2×#14273651 | C2 | semidirect |
| 7. C2×#14273638 | C2 | semidirect |
| 8. C2×C4×Q8×C59 | C2 | semidirect |
| 11. C2×#11745671 | C4 | semidirect |
| 19. #14273660 | C22 | semidirect |
| 20. #14273651 | C22 | semidirect |
| 22. #14273638 | C22 | semidirect |
| 25. C4×Q8×C59 | C22 | semidirect |
| 33. C2×Q8×C59 | C2×C4 | semidirect |
| 53. #11745671 | C2×C4 | semidirect |
| 58. C2×C59⋊C8 | C2×C4 | semidirect |
| 68. Q8×C59 | C22×C4 | semidirect |
| 88. C59⋊C8 | C22×C4 | semidirect |
| 106. C2×C59 | #440 | semidirect |
| 112. C2×C4×Q8 | D59 | semidirect |
| 119. C59 | C2×#440 | semidirect |
| 128. C4×Q8 | C2×D59 | semidirect |
| 144. C2×Q8 | C4×D59 | semidirect |
| 179. Q8 | C2×C4×D59 | semidirect |
| 217. C2 | #16837500 | direct (N × H) |