Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14273706 | C2 | semidirect |
| 2. #16837737 | C2 | semidirect |
| 3. #16837713 | C2 | semidirect |
| 4. #16837646 | C2 | semidirect |
| 5. #16837553 | C2 | semidirect |
| 6. #16837540 | C2 | semidirect |
| 7. #16837366 | C2 | semidirect |
| 9. C22×Dic118 | C22 | semidirect |
| 10. C2×#11745670 | C22 | semidirect |
| 11. C2×#11745664 | C22 | semidirect |
| 15. #14273706 | C22 | semidirect |
| 16. C2×C4⋊Dic59 | C22 | semidirect |
| 19. #14273660 | C22 | semidirect |
| 20. #14273650 | C22 | semidirect |
| 21. #14273648 | C22 | semidirect |
| 23. C22⋊(C59⋊C8) | C22 | semidirect |
| 138. C59 | #3193 | semidirect |