Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
548 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14273753 | C2 | semidirect |
| 2. #16837952 | C2 | semidirect |
| 3. #16837617 | C2 | semidirect |
| 4. #16837607 | C2 | semidirect |
| 5. #16837597 | C2 | semidirect |
| 6. #16837426 | C2 | semidirect |
| 7. #16837401 | C2 | semidirect |
| 8. C2×C4×D4×C59 | C2 | semidirect |
| 14. #14273727 | C22 | semidirect |
| 15. #14273724 | C22 | semidirect |
| 16. #14273715 | C22 | semidirect |
| 21. C4⋊(C59⋊C8) | C22 | semidirect |
| 22. C4⋊(C59⋊C8) | C22 | semidirect |
| 23. #14273650 | C22 | semidirect |
| 24. #14273647 | C22 | semidirect |
| 37. C2×D4×C59 | D4 | semidirect |
| 119. C4×C59 | AGL(1,ℤ/8) | semidirect |
| 132. C2×C4×D4 | D59 | semidirect |
| 138. C59 | #3036 | semidirect |
| 174. C2×D4 | D236 | semidirect |
| 250. C4 | #14273753 | semidirect |