Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
380 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 5. #16837685 | C2 | semidirect |
| 6. #16837610 | C2 | semidirect |
| 8. #16837509 | C2 | semidirect |
| 9. #16837506 | C2 | semidirect |
| 139. C59 | #3113 | semidirect |