Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11745670 | C2 | semidirect |
| 3. C2×#14273715 | C2 | semidirect |
| 4. #16837617 | C2 | direct (N × H) |
| 5. C2×C4⋊(C59⋊C8) | C2 | semidirect |
| 6. C2×#14273650 | C2 | semidirect |
| 7. C2×#14273647 | C2 | semidirect |
| 8. C2×C4×D4×C59 | C2 | semidirect |
| 12. C2×#11745670 | C22 | semidirect |
| 18. #14273715 | C22 | semidirect |
| 21. C4⋊(C59⋊C8) | C22 | semidirect |
| 22. #14273650 | C22 | semidirect |
| 23. #14273647 | C22 | semidirect |
| 27. C4×D4×C59 | C22 | semidirect |
| 119. C2×C59 | #463 | semidirect |
| 127. C2×C4×D4 | D59 | semidirect |
| 132. C59 | C2×#463 | semidirect |
| 146. C4×D4 | C2×D59 | semidirect |
| 243. C2 | #16837617 | direct (N × H) |