Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
334 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#14273718 | C2 | semidirect |
| 3. #16837802 | C2 | semidirect |
| 4. #16837755 | C2 | semidirect |
| 5. #16837737 | C2 | semidirect |
| 6. #16837733 | C2 | semidirect |
| 8. #16837712 | C2 | semidirect |
| 9. #16837704 | C2 | semidirect |
| 10. #16837452 | C2 | semidirect |
| 137. C59 | #3232 | semidirect |