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 |
|---|---|---|
| 1. #16838112 | C2 | semidirect |
| 3. #16837800 | C2 | semidirect |
| 4. #16837731 | C2 | semidirect |
| 5. #16837719 | C2 | semidirect |
| 6. #16837692 | C2 | semidirect |
| 7. #16837687 | C2 | semidirect |
| 8. #16837628 | C2 | semidirect |
| 9. C8×D236 | C2 | semidirect |
| 10. #106×D59 | C2 | semidirect |
| 11. C4×SD16×C59 | C2 | semidirect |
| 91. D236 | SD16 | semidirect |
| 99. C8×C59 | #41 | semidirect |
| 132. C4×SD16 | D59 | semidirect |
| 135. C59 | #3335 | semidirect |
| 224. C8 | #11745685 | semidirect |