Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
256 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 67 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. M32×D59 | C2 | semidirect |
| 3. #108×D59 | C2 | semidirect |
| 4. #16837216 | C2 | semidirect |
| 5. #16837215 | C2 | semidirect |
| 6. #16837214 | C2 | semidirect |
| 7. C59×#361 | C2 | semidirect |
| 17. #14273667 | C22 | semidirect |
| 20. #14273663 | C22 | semidirect |
| 23. M32×C59 | C22 | semidirect |
| 24. #108×C59 | C22 | semidirect |
| 96. D59 | #361 | direct (N × H) |
| 103. #361 | D59 | direct (N × H) |
| 104. C59 | C2×#361 | semidirect |
| 117. M32 | C2×D59 | semidirect |
| 121. #108 | C2×D59 | semidirect |