Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 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. #16837753 | C2 | semidirect |
| 4. #16837739 | C2 | semidirect |
| 5. #16837697 | C2 | semidirect |
| 6. #16837642 | C2 | semidirect |
| 7. #16837612 | C2 | semidirect |
| 8. #16837556 | C2 | semidirect |
| 10. #103×D59 | C2 | semidirect |
| 11. C4×Q16×C59 | C2 | semidirect |
| 91. D236 | Q16 | semidirect |
| 131. C4×Q16 | D59 | semidirect |
| 134. C59 | #3299 | semidirect |