Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 3. #16837754 | C2 | semidirect |
| 4. #16837706 | C2 | semidirect |
| 7. #16837612 | C2 | semidirect |
| 8. Q8×C59⋊C8 | C2 | semidirect |
| 9. C4×#11745672 | C2 | semidirect |
| 11. C59×#557 | C2 | semidirect |
| 116. #557 | D59 | semidirect |
| 127. C59 | #3364 | semidirect |