Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
656 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 157 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×#14273753 | C2 | semidirect |
| 2. #16837952 | C2 | semidirect |
| 3. #16837789 | C2 | semidirect |
| 4. #16837778 | C2 | semidirect |
| 5. #16837774 | C2 | semidirect |
| 6. C4×#11745664 | C2 | semidirect |
| 7. C2×#127×C59 | C2 | semidirect |
| 10. C2×#11745670 | C22 | semidirect |
| 11. C2×#11745669 | C22 | semidirect |
| 13. #14273727 | C22 | semidirect |
| 14. #14273724 | C22 | semidirect |
| 15. #14273715 | C22 | semidirect |
| 18. #14273638 | C22 | semidirect |
| 19. C4×C59⋊C8 | C22 | semidirect |
| 48. #11745664 | D4 | semidirect |
| 71. C59⋊C8 | C2×D4 | semidirect |
| 82. C4×C59 | AGL(1,ℤ/8) | semidirect |
| 93. C2×#127 | D59 | semidirect |
| 98. C59 | #3151 | semidirect |
| 174. C4 | #14273753 | semidirect |