Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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. #16838056 | C2 | semidirect |
| 2. #16837748 | C2 | semidirect |
| 3. #16837718 | C2 | semidirect |
| 4. #16837687 | C2 | semidirect |
| 5. #16837653 | C2 | semidirect |
| 6. #16837594 | C2 | semidirect |
| 7. #16837547 | C2 | semidirect |
| 8. C4×#11745671 | C2 | semidirect |
| 9. #16837480 | C2 | semidirect |
| 10. #16837403 | C2 | semidirect |
| 11. C59×#550 | C2 | semidirect |
| 81. Q8×C59 | #41 | semidirect |
| 135. #550 | D59 | semidirect |
| 146. C59 | #3332 | semidirect |
| 217. Q8 | #11745687 | semidirect |