Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
492 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 133 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×#11745670 | C2 | semidirect |
| 2. C2×#14273735 | C2 | semidirect |
| 3. #16837978 | C2 | semidirect |
| 5. #16837647 | C2 | semidirect |
| 6. #16837630 | C2 | semidirect |
| 7. #16837438 | C2 | semidirect |
| 8. #16837412 | C2 | semidirect |
| 9. C59×#418 | C2 | semidirect |
| 16. C2×#11745659 | C22 | semidirect |
| 18. C2×C8×D59 | C22 | semidirect |
| 24. #14273707 | C22 | semidirect |
| 28. #14273660 | C22 | semidirect |
| 29. #14273658 | C22 | semidirect |
| 30. #14273652 | C22 | semidirect |
| 66. C2×C59⋊C8 | D4 | semidirect |
| 129. #418 | D59 | semidirect |
| 130. C59 | #3057 | semidirect |