Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 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. #16837952 | C2 | semidirect |
| 2. #16837778 | C2 | semidirect |
| 3. #16837748 | C2 | semidirect |
| 4. #16837594 | C2 | semidirect |
| 5. #16837536 | C2 | semidirect |
| 6. #16837455 | C2 | semidirect |
| 7. C2×#127×C59 | C2 | semidirect |
| 9. C2×#11745669 | C22 | semidirect |
| 10. #14273727 | C22 | semidirect |
| 11. #14273724 | C22 | semidirect |
| 16. C4×D236 | C22 | semidirect |
| 17. C4⋊(C59⋊C8) | C22 | semidirect |
| 18. #14273648 | C22 | semidirect |
| 20. C4×C59⋊C8 | C22 | semidirect |
| 73. C2×C4×C59 | D8 | semidirect |
| 114. C2×#127 | D59 | semidirect |
| 120. C59 | #3205 | semidirect |
| 193. C2×C4 | #11745669 | semidirect |