Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
326 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 326 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 |
|---|---|---|
| 2. #16837805 | C2 | semidirect |
| 3. #16837798 | C2 | semidirect |
| 4. #16837754 | C2 | semidirect |
| 5. #16837754 | C2 | semidirect |
| 7. #16837706 | C2 | semidirect |
| 112. C59 | #3231 | semidirect |