Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#14273758 | C2 | semidirect |
| 3. C2×#14273758 | C2 | semidirect |
| 4. #16838168 | C2 | semidirect |
| 5. #16837676 | C2 | semidirect |
| 6. #16837668 | C2 | semidirect |
| 7. #16837450 | C2 | semidirect |
| 8. #16837384 | C2 | semidirect |
| 9. C2×#101×C59 | C2 | semidirect |
| 22. C2×#11745672 | C22 | semidirect |
| 24. C2×#11745671 | C22 | semidirect |
| 30. #14273662 | C22 | semidirect |
| 31. #14273645 | C22 | semidirect |
| 32. #14273643 | C22 | semidirect |
| 36. #101×C59 | C22 | semidirect |
| 151. C2×#101 | D59 | semidirect |
| 152. C59 | #3069 | semidirect |
| 178. #101 | C2×D59 | semidirect |