Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14273775 | C2 | semidirect |
| 2. C2×#14273753 | C2 | semidirect |
| 3. #16837969 | C2 | semidirect |
| 4. #16837546 | C2 | semidirect |
| 5. #16837539 | C2 | semidirect |
| 6. #16837411 | C2 | semidirect |
| 7. #16837399 | C2 | semidirect |
| 8. #16837368 | C2 | semidirect |
| 9. C22×SD16×C59 | C2 | semidirect |
| 13. C2×#11745689 | C22 | semidirect |
| 18. C2×Q8×D59 | C22 | semidirect |
| 28. #14273652 | C22 | semidirect |
| 29. #14273651 | C22 | semidirect |
| 30. #14273649 | C22 | semidirect |
| 31. (C2×D59)⋊C8 | C22 | semidirect |
| 40. C2×Q8×C59 | D4 | semidirect |
| 61. #11745685 | D4 | semidirect |
| 148. C22×SD16 | D59 | semidirect |
| 155. C59 | #3010 | semidirect |
| 200. C2×Q8 | C22⋊D59 | semidirect |