Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
816 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 269 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. C22×#11745664 | C2 | semidirect |
| 3. #16837401 | C2 | direct (N × H) |
| 4. C2×#14273650 | C2 | semidirect |
| 5. C2×#14273647 | C2 | semidirect |
| 6. C22×C4⋊C4×C59 | C2 | semidirect |
| 9. C2×#11745685 | C4 | semidirect |
| 16. C2×#11745664 | C22 | semidirect |
| 18. #14273650 | C22 | semidirect |
| 19. #14273647 | C22 | semidirect |
| 25. C2×C4⋊C4×C59 | C22 | semidirect |
| 42. #11745685 | C2×C4 | semidirect |
| 45. C2×D236 | C2×C4 | semidirect |
| 51. C2×Dic118 | C2×C4 | semidirect |
| 85. D236 | C22×C4 | semidirect |
| 89. Dic118 | C22×C4 | semidirect |
| 111. C2×C59 | #417 | semidirect |
| 118. C22×C4⋊C4 | D59 | semidirect |
| 122. C59 | C2×#417 | semidirect |
| 139. C2×C4⋊C4 | C2×D59 | semidirect |
| 227. C2 | #16837401 | direct (N × H) |