Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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. C2×#14273758 | C2 | semidirect |
| 3. C2×#14273716 | C2 | semidirect |
| 4. #16837870 | C2 | semidirect |
| 5. #16837627 | C2 | semidirect |
| 6. #16837620 | C2 | semidirect |
| 7. #16837425 | C2 | semidirect |
| 8. #16837406 | C2 | semidirect |
| 9. C59×#419 | C2 | semidirect |
| 14. C2×#11745672 | C22 | semidirect |
| 16. C2×#11745671 | C22 | semidirect |
| 22. #14273692 | C22 | semidirect |
| 23. #14273689 | C22 | semidirect |
| 29. Dic59⋊C8 | C22 | semidirect |
| 34. #103×C59 | C22 | semidirect |
| 133. #419 | D59 | semidirect |
| 135. C59 | #3040 | semidirect |
| 159. #103 | C2×D59 | semidirect |