Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. #16838056 | C2 | semidirect |
| 2. #16837805 | C2 | semidirect |
| 3. #16837715 | C2 | semidirect |
| 4. #16837713 | C2 | semidirect |
| 5. #16837682 | C2 | semidirect |
| 6. #16837679 | C2 | semidirect |
| 7. #16837636 | C2 | semidirect |
| 8. C4×#11745669 | C2 | semidirect |
| 9. D4×C59⋊C8 | C2 | semidirect |
| 10. C2×#14273660 | C2 | semidirect |
| 11. C59×#547 | C2 | semidirect |
| 82. D4×C59 | D8 | semidirect |
| 103. C59⋊C8 | #41 | semidirect |
| 131. #547 | D59 | semidirect |
| 141. C59 | #3334 | semidirect |
| 216. D4 | #11745669 | semidirect |