Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #16837883 | C2 | semidirect |
| 3. #16837501 | C2 | semidirect |
| 4. #16837496 | C2 | semidirect |
| 5. #16837484 | C2 | semidirect |
| 6. #16837401 | C2 | semidirect |
| 7. #16837357 | C2 | semidirect |
| 8. C2×#107×C59 | C2 | semidirect |
| 10. #14273749 | C4 | semidirect |
| 33. #11745685 | C2×C4 | semidirect |
| 38. C2×C8×C59 | C2×C4 | semidirect |
| 52. Dic236 | C2×C4 | semidirect |
| 53. D472 | C2×C4 | semidirect |
| 54. #11745660 | C2×C4 | semidirect |
| 101. C2×#107 | D59 | semidirect |
| 104. C59 | #2951 | semidirect |
| 139. C2×C8 | C4×D59 | semidirect |