Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16838109 | C2 | semidirect |
| 3. #16837800 | C2 | semidirect |
| 4. #16837733 | C2 | semidirect |
| 5. #16837721 | C2 | semidirect |
| 6. #16837693 | C2 | semidirect |
| 7. #16837688 | C2 | semidirect |
| 8. #16837631 | C2 | semidirect |
| 9. C4×#11745660 | C2 | semidirect |
| 10. C2×#14273659 | C2 | semidirect |
| 11. C8×D4×C59 | C2 | semidirect |
| 76. D4×C59 | SD16 | semidirect |
| 100. C8×C59 | #41 | semidirect |
| 133. C8×D4 | D59 | semidirect |
| 135. C59 | #3335 | semidirect |
| 207. D4 | #11745660 | semidirect |
| 224. C8 | #11745687 | semidirect |