Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 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. #16837959 | C2 | semidirect |
| 3. #16837767 | C2 | semidirect |
| 4. #16837749 | C2 | semidirect |
| 5. #16837408 | C2 | semidirect |
| 6. C4×M16×C59 | C2 | semidirect |
| 9. #14273727 | C22 | semidirect |
| 13. #14273719 | C22 | semidirect |
| 17. #14273649 | C22 | semidirect |
| 20. #97×C59 | C22 | semidirect |
| 21. C4×C8×C59 | C22 | semidirect |
| 80. C4×M16 | D59 | semidirect |
| 81. C59 | #3138 | semidirect |
| 95. #97 | C2×D59 | semidirect |
| 96. C4×C8 | C2×D59 | semidirect |