Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
364 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16838117 | C2 | semidirect |
| 2. #16837807 | C2 | semidirect |
| 3. #16837724 | C2 | semidirect |
| 4. #16837692 | C2 | semidirect |
| 5. #16837635 | C2 | semidirect |
| 6. C8×D236 | C2 | semidirect |
| 7. #16837439 | C2 | semidirect |
| 8. C4×D8×C59 | C2 | semidirect |
| 93. C4×D8 | D59 | semidirect |
| 96. C59 | #3341 | semidirect |