Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16838109 | C2 | semidirect |
| 2. #16838073 | C2 | semidirect |
| 3. #16837765 | C2 | semidirect |
| 4. #16837749 | C2 | semidirect |
| 5. #16837705 | C2 | semidirect |
| 6. #16837692 | C2 | semidirect |
| 7. #16837597 | C2 | semidirect |
| 8. #16837595 | C2 | semidirect |
| 9. #16837532 | C2 | semidirect |
| 10. #16837511 | C2 | semidirect |
| 11. C4×D8×C59 | C2 | semidirect |
| 80. D4×C59 | #41 | semidirect |
| 140. C4×D8 | D59 | semidirect |
| 141. C59 | #3366 | semidirect |
| 218. D4 | #11745685 | semidirect |