Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16838057 | C2 | semidirect |
| 2. #16837754 | C2 | semidirect |
| 3. #16837737 | C2 | semidirect |
| 4. #16837679 | C2 | semidirect |
| 5. #16837646 | C2 | semidirect |
| 6. #16837607 | C2 | semidirect |
| 7. #16837545 | C2 | semidirect |
| 8. C4×#11745669 | C2 | semidirect |
| 9. #16837480 | C2 | semidirect |
| 10. #16837401 | C2 | semidirect |
| 11. C59×#547 | C2 | semidirect |
| 99. D236 | #41 | semidirect |
| 134. #547 | D59 | semidirect |
| 144. C59 | #3330 | semidirect |