Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
544 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 544 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. C22×#11745660 | C2 | semidirect |
| 2. C22×#11745659 | C2 | semidirect |
| 3. C2×#14273707 | C2 | semidirect |
| 5. #16837649 | C2 | direct (N × H) |
| 6. C2×#14273650 | C2 | semidirect |
| 7. C2×#14273647 | C2 | semidirect |
| 8. C2×#107×C59 | C2 | semidirect |
| 14. C2×#11745660 | C22 | semidirect |
| 16. C2×#11745659 | C22 | semidirect |
| 19. #14273707 | C22 | semidirect |
| 25. #14273650 | C22 | semidirect |
| 26. #14273647 | C22 | semidirect |
| 30. #107×C59 | C22 | semidirect |
| 52. C2×C8×C59 | D4 | semidirect |
| 96. C8×C59 | C2×D4 | semidirect |
| 118. C2×C59 | #468 | semidirect |
| 129. C2×#107 | D59 | semidirect |
| 132. C59 | C2×#468 | semidirect |
| 152. #107 | C2×D59 | semidirect |
| 180. C2×C8 | D236 | semidirect |
| 221. C8 | C2×D236 | semidirect |
| 243. C2 | #16837649 | direct (N × H) |