Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #16837742 | C2 | semidirect |
| 4. #16837741 | C2 | semidirect |
| 5. #16837736 | C2 | semidirect |
| 6. #16837731 | C2 | semidirect |
| 7. #16837444 | C2 | semidirect |
| 8. #16837438 | C2 | semidirect |
| 9. C2×#14273651 | C2 | semidirect |
| 11. C59×#419 | C2 | semidirect |
| 135. #419 | D59 | semidirect |
| 138. C59 | #3097 | semidirect |