Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16838052 | C2 | semidirect |
| 2. #16837806 | C2 | semidirect |
| 3. #16837714 | C2 | semidirect |
| 4. #16837713 | C2 | semidirect |
| 5. #16837680 | C2 | semidirect |
| 6. #16837635 | C2 | semidirect |
| 7. D8×Dic59 | C2 | semidirect |
| 8. C8×C22⋊D59 | C2 | semidirect |
| 9. C2×#14273661 | C2 | semidirect |
| 10. #107×D59 | C2 | semidirect |
| 11. C59×#466 | C2 | semidirect |
| 82. C22⋊D59 | D8 | semidirect |
| 95. C8×C59 | #41 | semidirect |
| 130. #466 | D59 | semidirect |
| 135. C59 | #3334 | semidirect |
| 221. C8 | #11745687 | semidirect |