Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. C2×#14273758 | C2 | semidirect |
| 3. #16838169 | C2 | semidirect |
| 4. #16837675 | C2 | semidirect |
| 5. #16837667 | C2 | semidirect |
| 6. #16837450 | C2 | semidirect |
| 7. #16837384 | C2 | semidirect |
| 8. C2×#14273646 | C2 | semidirect |
| 9. C2×#137×C59 | C2 | semidirect |
| 18. C2×#11745672 | C22 | semidirect |
| 19. C2×#11745671 | C22 | semidirect |
| 26. #14273662 | C22 | semidirect |
| 27. #14273646 | C22 | semidirect |
| 28. #14273645 | C22 | semidirect |
| 29. #14273643 | C22 | semidirect |
| 145. C2×#137 | D59 | semidirect |
| 152. C59 | #3069 | semidirect |