Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14273774 | C2 | semidirect |
| 2. #16838202 | C2 | semidirect |
| 3. #16838200 | C2 | semidirect |
| 4. #16837978 | C2 | semidirect |
| 5. #16837586 | C2 | semidirect |
| 6. #16837576 | C2 | semidirect |
| 7. #16837420 | C2 | semidirect |
| 8. C2×#14273645 | C2 | semidirect |
| 9. C59×#421 | C2 | semidirect |
| 23. #14273760 | C22 | semidirect |
| 25. #14273757 | C22 | semidirect |
| 27. #14273755 | C22 | semidirect |
| 29. #14273752 | C22 | semidirect |
| 33. #14273727 | C22 | semidirect |
| 34. #14273715 | C22 | semidirect |
| 37. #14273655 | C22 | semidirect |
| 38. #14273645 | C22 | semidirect |
| 42. #104×C59 | C22 | semidirect |
| 193. #421 | D59 | semidirect |
| 195. C59 | #3020 | semidirect |
| 227. #104 | C2×D59 | semidirect |