Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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×#14273725 | C2 | semidirect |
| 3. #16837773 | C2 | semidirect |
| 4. #16837751 | C2 | semidirect |
| 5. #16837606 | C2 | semidirect |
| 6. #16837605 | C2 | semidirect |
| 7. #16837543 | C2 | semidirect |
| 8. #16837541 | C2 | semidirect |
| 9. #16837540 | C2 | semidirect |
| 10. #16837452 | C2 | semidirect |
| 11. C59×#448 | C2 | semidirect |
| 107. C2×Dic59 | SD16 | semidirect |
| 156. #448 | D59 | semidirect |
| 158. C59 | #3206 | semidirect |