Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16838100 | C2 | semidirect |
| 2. #16837803 | C2 | semidirect |
| 3. #16837729 | C2 | semidirect |
| 4. #16837720 | C2 | semidirect |
| 5. #16837705 | C2 | semidirect |
| 6. #16837639 | C2 | semidirect |
| 7. #16837638 | C2 | semidirect |
| 8. #16837484 | C2 | semidirect |
| 9. C8×C22⋊D59 | C2 | semidirect |
| 10. #16837439 | C2 | semidirect |
| 11. C2×#107×C59 | C2 | semidirect |
| 131. C2×#107 | D59 | semidirect |
| 132. C59 | #3339 | semidirect |