Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16837806 | C2 | semidirect |
| 3. #16837739 | C2 | semidirect |
| 4. #16837737 | C2 | semidirect |
| 5. #16837696 | C2 | semidirect |
| 6. #16837644 | C2 | semidirect |
| 7. #16837643 | C2 | semidirect |
| 8. #16837496 | C2 | semidirect |
| 10. #107×D59 | C2 | semidirect |
| 11. C2×#107×C59 | C2 | semidirect |
| 78. C22⋊D59 | Q16 | semidirect |
| 127. C2×#107 | D59 | semidirect |
| 128. C59 | #3338 | semidirect |