Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16837959 | C2 | semidirect |
| 2. #16837761 | C2 | semidirect |
| 3. #16837756 | C2 | semidirect |
| 4. #16837411 | C2 | semidirect |
| 6. C4×#11745664 | C2 | semidirect |
| 9. #14273727 | C22 | semidirect |
| 10. #14273719 | C22 | semidirect |
| 14. #14273651 | C22 | semidirect |
| 16. #14273638 | C22 | semidirect |
| 17. C4×C59⋊C8 | C22 | semidirect |
| 91. C59 | #3140 | semidirect |