Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837952 | C2 | semidirect |
| 2. #16837792 | C2 | semidirect |
| 3. #16837761 | C2 | semidirect |
| 4. #16837614 | C2 | semidirect |
| 5. #16837541 | C2 | semidirect |
| 6. #16837536 | C2 | semidirect |
| 7. #16837459 | C2 | semidirect |
| 8. C2×#124×C59 | C2 | semidirect |
| 10. C2×#11745671 | C22 | semidirect |
| 12. #14273727 | C22 | semidirect |
| 13. #14273724 | C22 | semidirect |
| 18. C4×D236 | C22 | semidirect |
| 19. C4⋊(C59⋊C8) | C22 | semidirect |
| 20. #14273651 | C22 | semidirect |
| 23. #14273638 | C22 | semidirect |
| 122. C2×#124 | D59 | semidirect |
| 129. C59 | #3213 | semidirect |