Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
390 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 119 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×#14273692 | C2 | semidirect |
| 4. #16837712 | C2 | semidirect |
| 5. #16837627 | C2 | semidirect |
| 6. #16837557 | C2 | semidirect |
| 8. #16837494 | C2 | semidirect |
| 9. #16837489 | C2 | semidirect |
| 10. #16837452 | C2 | semidirect |
| 11. C59×#483 | C2 | semidirect |
| 134. #483 | D59 | semidirect |
| 143. C59 | #3108 | semidirect |