Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
246 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 77 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. #16837455 | C2 | semidirect |
| 3. #16837150 | C2 | semidirect |
| 4. #16837145 | C2 | semidirect |
| 5. C59×#431 | C2 | semidirect |
| 83. #431 | D59 | semidirect |
| 86. C59 | #1543 | semidirect |