Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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 |
| 2. C2×#14273734 | C2 | semidirect |
| 4. #16837650 | C2 | semidirect |
| 5. #16837633 | C2 | semidirect |
| 6. #16837438 | C2 | semidirect |
| 7. #16837411 | C2 | semidirect |
| 8. #16837406 | C2 | semidirect |
| 9. C59×#536 | C2 | semidirect |
| 16. C2×#11745664 | C22 | semidirect |
| 18. C22×C59⋊C8 | C22 | semidirect |
| 24. #14273660 | C22 | semidirect |
| 25. #14273658 | C22 | semidirect |
| 26. #14273651 | C22 | semidirect |
| 33. C22⋊Q8×C59 | C22 | semidirect |
| 67. C2×C59⋊C8 | D4 | semidirect |
| 123. #536 | D59 | semidirect |
| 130. C59 | #3057 | semidirect |
| 147. C22⋊Q8 | C2×D59 | semidirect |