Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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. C2×#14273747 | C2 | semidirect |
| 2. #16838057 | C2 | semidirect |
| 3. #16837781 | C2 | semidirect |
| 4. #16837641 | C2 | semidirect |
| 5. #16837607 | C2 | semidirect |
| 6. #16837604 | C2 | semidirect |
| 7. #16837564 | C2 | semidirect |
| 8. #16837562 | C2 | semidirect |
| 9. C4×#11745669 | C2 | semidirect |
| 10. D4×C59⋊C8 | C2 | semidirect |
| 11. C59×#547 | C2 | semidirect |
| 72. #11745669 | D4 | semidirect |
| 127. C4×C59 | #135 | semidirect |
| 141. #547 | D59 | semidirect |
| 150. C59 | #3283 | semidirect |
| 268. C4 | #14273747 | semidirect |