Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 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. #16837969 | C2 | semidirect |
| 3. #16837652 | C2 | semidirect |
| 4. #16837635 | C2 | semidirect |
| 5. #16837440 | C2 | semidirect |
| 6. #16837407 | C2 | semidirect |
| 7. C22×D8×C59 | C2 | semidirect |
| 11. C2×#11745659 | C22 | semidirect |
| 12. C2×C8×D59 | C22 | semidirect |
| 15. #14273698 | C22 | semidirect |
| 18. #14273661 | C22 | semidirect |
| 19. #14273659 | C22 | semidirect |
| 20. #14273648 | C22 | semidirect |
| 41. C2×C8×C59 | D4 | semidirect |
| 94. C22×D8 | D59 | semidirect |
| 101. C59 | #3058 | semidirect |
| 139. C2×C8 | C22⋊D59 | semidirect |