Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
404 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 139 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. #16837776 | C2 | semidirect |
| 3. #16837604 | C2 | semidirect |
| 4. #16837602 | C2 | semidirect |
| 5. Q8×C59⋊C8 | C2 | semidirect |
| 6. C4×#11745671 | C2 | semidirect |
| 7. C59×#557 | C2 | semidirect |
| 47. Q8×C59 | SD16 | semidirect |
| 60. C59⋊C8 | #41 | semidirect |
| 77. #557 | D59 | semidirect |
| 84. C59 | #3392 | semidirect |
| 124. Q8 | #11745671 | semidirect |