Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837952 | C2 | semidirect |
| 2. #16837792 | C2 | semidirect |
| 3. #16837761 | C2 | semidirect |
| 4. #16837604 | C2 | semidirect |
| 5. #16837594 | C2 | semidirect |
| 6. #16837547 | C2 | semidirect |
| 7. #16837459 | C2 | semidirect |
| 8. C59×#532 | C2 | semidirect |
| 119. #532 | D59 | semidirect |
| 126. C59 | #3214 | semidirect |