Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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. C2×#14273733 | C2 | semidirect |
| 2. #16837976 | C2 | semidirect |
| 4. #16837645 | C2 | semidirect |
| 5. #16837628 | C2 | semidirect |
| 6. #16837440 | C2 | semidirect |
| 7. #16837411 | C2 | semidirect |
| 8. #16837407 | C2 | semidirect |
| 9. C22×SD16×C59 | C2 | semidirect |
| 13. C2×#11745659 | C22 | semidirect |
| 14. C2×C8×D59 | C22 | semidirect |
| 20. #14273703 | C22 | semidirect |
| 25. #14273661 | C22 | semidirect |
| 26. #14273659 | C22 | semidirect |
| 27. #14273651 | C22 | semidirect |
| 55. C2×C8×C59 | D4 | semidirect |
| 121. C22×SD16 | D59 | semidirect |
| 130. C59 | #3057 | semidirect |
| 180. C2×C8 | C22⋊D59 | semidirect |