Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 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. #16837709 | C2 | semidirect |
| 3. #16837684 | C2 | semidirect |
| 4. #16837679 | C2 | semidirect |
| 5. #16837641 | C2 | semidirect |
| 7. #16837624 | C2 | semidirect |
| 8. #16837609 | C2 | semidirect |
| 9. #16837604 | C2 | semidirect |
| 10. C2×C4⋊(C59⋊C8) | C2 | semidirect |
| 11. C59×#533 | C2 | semidirect |
| 134. #533 | D59 | semidirect |
| 145. C59 | #3248 | semidirect |