Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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. C22×#11745671 | C2 | semidirect |
| 3. #16837876 | C2 | semidirect |
| 4. #16837614 | C2 | semidirect |
| 5. #16837604 | C2 | semidirect |
| 6. #16837429 | C2 | semidirect |
| 7. #16837411 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 9. C59×#536 | C2 | semidirect |
| 22. C4⋊(C59⋊C8) | C22 | semidirect |
| 23. #14273651 | C22 | semidirect |
| 24. #14273651 | C22 | semidirect |
| 25. #14273648 | C22 | semidirect |
| 28. C4⋊Q8×C59 | C22 | semidirect |
| 29. #124×C59 | C22 | semidirect |
| 119. #536 | D59 | semidirect |
| 126. C59 | #3042 | semidirect |
| 137. C4⋊Q8 | C2×D59 | semidirect |
| 138. #124 | C2×D59 | semidirect |